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Finding the Fourth Proportional to 3,534.52, 5,300.84 and 1,681.94

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Solution

The fourth proportional to 3,534.52, 5,300.84 and 1,681.94 is: 2,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.52 : 5,300.84 = 1,681.94 : x
  2. Step 2: Convert to fraction form
    3,534.52/5,300.84 = 1,681.94/x
  3. Step 3: Cross multiply
    3,534.52x = 5,300.84 × 1,681.94
  4. Step 4: Simplify right side
    3,534.52x = 8,915,686.42
  5. Step 5: Solve for x
    x = 8,915,686.42/3,534.52
  6. Step 6: Final answer
    x = 2,522.46

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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.