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Finding the Fourth Proportional to 4,688.71, 6,464.54 and 3,007.15

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Solution

The fourth proportional to 4,688.71, 6,464.54 and 3,007.15 is: 4,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.71 : 6,464.54 = 3,007.15 : x
  2. Step 2: Convert to fraction form
    4,688.71/6,464.54 = 3,007.15/x
  3. Step 3: Cross multiply
    4,688.71x = 6,464.54 × 3,007.15
  4. Step 4: Simplify right side
    4,688.71x = 19,439,876.98
  5. Step 5: Solve for x
    x = 19,439,876.98/4,688.71
  6. Step 6: Final answer
    x = 4,146.10

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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.