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Finding the Fourth Proportional to 5,572.53, 8,353.18 and 3,494.00

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Solution

The fourth proportional to 5,572.53, 8,353.18 and 3,494.00 is: 5,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.53 : 8,353.18 = 3,494.00 : x
  2. Step 2: Convert to fraction form
    5,572.53/8,353.18 = 3,494.00/x
  3. Step 3: Cross multiply
    5,572.53x = 8,353.18 × 3,494.00
  4. Step 4: Simplify right side
    5,572.53x = 29,186,036.17
  5. Step 5: Solve for x
    x = 29,186,036.17/5,572.53
  6. Step 6: Final answer
    x = 5,237.48

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Why These Related Problems?

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