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Finding the Fourth Proportional to 4,666.71, 6,441.36 and 3,177.12

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Solution

The fourth proportional to 4,666.71, 6,441.36 and 3,177.12 is: 4,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.71 : 6,441.36 = 3,177.12 : x
  2. Step 2: Convert to fraction form
    4,666.71/6,441.36 = 3,177.12/x
  3. Step 3: Cross multiply
    4,666.71x = 6,441.36 × 3,177.12
  4. Step 4: Simplify right side
    4,666.71x = 20,464,973.68
  5. Step 5: Solve for x
    x = 20,464,973.68/4,666.71
  6. Step 6: Final answer
    x = 4,385.31

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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.