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Finding the Fourth Proportional to 4,688.69, 6,478.17 and 3,701.51

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Solution

The fourth proportional to 4,688.69, 6,478.17 and 3,701.51 is: 5,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.69 : 6,478.17 = 3,701.51 : x
  2. Step 2: Convert to fraction form
    4,688.69/6,478.17 = 3,701.51/x
  3. Step 3: Cross multiply
    4,688.69x = 6,478.17 × 3,701.51
  4. Step 4: Simplify right side
    4,688.69x = 23,979,011.04
  5. Step 5: Solve for x
    x = 23,979,011.04/4,688.69
  6. Step 6: Final answer
    x = 5,114.22

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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.