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Finding the Fourth Proportional to 3,688.47, 5,532.71 and 1,348.79

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Solution

The fourth proportional to 3,688.47, 5,532.71 and 1,348.79 is: 2,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.47 : 5,532.71 = 1,348.79 : x
  2. Step 2: Convert to fraction form
    3,688.47/5,532.71 = 1,348.79/x
  3. Step 3: Cross multiply
    3,688.47x = 5,532.71 × 1,348.79
  4. Step 4: Simplify right side
    3,688.47x = 7,462,429.51
  5. Step 5: Solve for x
    x = 7,462,429.51/3,688.47
  6. Step 6: Final answer
    x = 2,023.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.