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Finding the Fourth Proportional to 4,007.16, 5,975.42 and 3,730.14

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Solution

The fourth proportional to 4,007.16, 5,975.42 and 3,730.14 is: 5,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.16 : 5,975.42 = 3,730.14 : x
  2. Step 2: Convert to fraction form
    4,007.16/5,975.42 = 3,730.14/x
  3. Step 3: Cross multiply
    4,007.16x = 5,975.42 × 3,730.14
  4. Step 4: Simplify right side
    4,007.16x = 22,289,134.51
  5. Step 5: Solve for x
    x = 22,289,134.51/4,007.16
  6. Step 6: Final answer
    x = 5,562.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.