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Finding the Fourth Proportional to 5,308.23, 7,943.70 and 4,360.14

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Solution

The fourth proportional to 5,308.23, 7,943.70 and 4,360.14 is: 6,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.23 : 7,943.70 = 4,360.14 : x
  2. Step 2: Convert to fraction form
    5,308.23/7,943.70 = 4,360.14/x
  3. Step 3: Cross multiply
    5,308.23x = 7,943.70 × 4,360.14
  4. Step 4: Simplify right side
    5,308.23x = 34,635,644.12
  5. Step 5: Solve for x
    x = 34,635,644.12/5,308.23
  6. Step 6: Final answer
    x = 6,524.90

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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.