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Finding the Fourth Proportional to 4,347.40, 6,521.10 and 4,177.30

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Solution

The fourth proportional to 4,347.40, 6,521.10 and 4,177.30 is: 6,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.40 : 6,521.10 = 4,177.30 : x
  2. Step 2: Convert to fraction form
    4,347.40/6,521.10 = 4,177.30/x
  3. Step 3: Cross multiply
    4,347.40x = 6,521.10 × 4,177.30
  4. Step 4: Simplify right side
    4,347.40x = 27,240,591.03
  5. Step 5: Solve for x
    x = 27,240,591.03/4,347.40
  6. Step 6: Final answer
    x = 6,265.95

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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.