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Finding the Fourth Proportional to 3,534.74, 5,304.14 and 1,315.13

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Solution

The fourth proportional to 3,534.74, 5,304.14 and 1,315.13 is: 1,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.74 : 5,304.14 = 1,315.13 : x
  2. Step 2: Convert to fraction form
    3,534.74/5,304.14 = 1,315.13/x
  3. Step 3: Cross multiply
    3,534.74x = 5,304.14 × 1,315.13
  4. Step 4: Simplify right side
    3,534.74x = 6,975,600.54
  5. Step 5: Solve for x
    x = 6,975,600.54/3,534.74
  6. Step 6: Final answer
    x = 1,973.44

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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.