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Finding the Fourth Proportional to 3,707.47, 5,114.09 and 2,448.53

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Solution

The fourth proportional to 3,707.47, 5,114.09 and 2,448.53 is: 3,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.47 : 5,114.09 = 2,448.53 : x
  2. Step 2: Convert to fraction form
    3,707.47/5,114.09 = 2,448.53/x
  3. Step 3: Cross multiply
    3,707.47x = 5,114.09 × 2,448.53
  4. Step 4: Simplify right side
    3,707.47x = 12,521,988.74
  5. Step 5: Solve for x
    x = 12,521,988.74/3,707.47
  6. Step 6: Final answer
    x = 3,377.50

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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.