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Finding the Fourth Proportional to 4,153.64, 6,223.95 and 3,534.80

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Solution

The fourth proportional to 4,153.64, 6,223.95 and 3,534.80 is: 5,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.64 : 6,223.95 = 3,534.80 : x
  2. Step 2: Convert to fraction form
    4,153.64/6,223.95 = 3,534.80/x
  3. Step 3: Cross multiply
    4,153.64x = 6,223.95 × 3,534.80
  4. Step 4: Simplify right side
    4,153.64x = 22,000,387.34
  5. Step 5: Solve for x
    x = 22,000,387.34/4,153.64
  6. Step 6: Final answer
    x = 5,296.66

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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.