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Finding the Fourth Proportional to 3,534.57, 5,304.33 and 1,456.45

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Solution

The fourth proportional to 3,534.57, 5,304.33 and 1,456.45 is: 2,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.57 : 5,304.33 = 1,456.45 : x
  2. Step 2: Convert to fraction form
    3,534.57/5,304.33 = 1,456.45/x
  3. Step 3: Cross multiply
    3,534.57x = 5,304.33 × 1,456.45
  4. Step 4: Simplify right side
    3,534.57x = 7,725,478.17
  5. Step 5: Solve for x
    x = 7,725,478.17/3,534.57
  6. Step 6: Final answer
    x = 2,185.69

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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.