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Finding the Fourth Proportional to 3,526.84, 5,291.03 and 1,061.47

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Solution

The fourth proportional to 3,526.84, 5,291.03 and 1,061.47 is: 1,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.84 : 5,291.03 = 1,061.47 : x
  2. Step 2: Convert to fraction form
    3,526.84/5,291.03 = 1,061.47/x
  3. Step 3: Cross multiply
    3,526.84x = 5,291.03 × 1,061.47
  4. Step 4: Simplify right side
    3,526.84x = 5,616,269.61
  5. Step 5: Solve for x
    x = 5,616,269.61/3,526.84
  6. Step 6: Final answer
    x = 1,592.44

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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.