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Finding the Fourth Proportional to 5,648,671.08, 7,795,335.51 and 3,201,286.86

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Solution

The fourth proportional to 5,648,671.08, 7,795,335.51 and 3,201,286.86 is: 4,417,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648,671.08 : 7,795,335.51 = 3,201,286.86 : x
  2. Step 2: Convert to fraction form
    5,648,671.08/7,795,335.51 = 3,201,286.86/x
  3. Step 3: Cross multiply
    5,648,671.08x = 7,795,335.51 × 3,201,286.86
  4. Step 4: Simplify right side
    5,648,671.08x = 24,955,105,137,454.40
  5. Step 5: Solve for x
    x = 24,955,105,137,454.40/5,648,671.08
  6. Step 6: Final answer
    x = 4,417,871.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.