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Finding the Fourth Proportional to 5,636.40, 8,462.70 and 4,405.20

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Solution

The fourth proportional to 5,636.40, 8,462.70 and 4,405.20 is: 6,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.40 : 8,462.70 = 4,405.20 : x
  2. Step 2: Convert to fraction form
    5,636.40/8,462.70 = 4,405.20/x
  3. Step 3: Cross multiply
    5,636.40x = 8,462.70 × 4,405.20
  4. Step 4: Simplify right side
    5,636.40x = 37,279,886.04
  5. Step 5: Solve for x
    x = 37,279,886.04/5,636.40
  6. Step 6: Final answer
    x = 6,614.13

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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.