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Finding the Fourth Proportional to 5,671.41, 7,826.89 and 3,154.08

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Solution

The fourth proportional to 5,671.41, 7,826.89 and 3,154.08 is: 4,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.41 : 7,826.89 = 3,154.08 : x
  2. Step 2: Convert to fraction form
    5,671.41/7,826.89 = 3,154.08/x
  3. Step 3: Cross multiply
    5,671.41x = 7,826.89 × 3,154.08
  4. Step 4: Simplify right side
    5,671.41x = 24,686,637.21
  5. Step 5: Solve for x
    x = 24,686,637.21/5,671.41
  6. Step 6: Final answer
    x = 4,352.82

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1.5x scale

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.