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Finding the Fourth Proportional to 4,671.80, 6,448.65 and 2,783.98

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Solution

The fourth proportional to 4,671.80, 6,448.65 and 2,783.98 is: 3,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.80 : 6,448.65 = 2,783.98 : x
  2. Step 2: Convert to fraction form
    4,671.80/6,448.65 = 2,783.98/x
  3. Step 3: Cross multiply
    4,671.80x = 6,448.65 × 2,783.98
  4. Step 4: Simplify right side
    4,671.80x = 17,952,913.82
  5. Step 5: Solve for x
    x = 17,952,913.82/4,671.80
  6. Step 6: Final answer
    x = 3,842.82

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