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Finding the Fourth Proportional to 5,470.30, 8,200.14 and 4,357.00

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Solution

The fourth proportional to 5,470.30, 8,200.14 and 4,357.00 is: 6,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.30 : 8,200.14 = 4,357.00 : x
  2. Step 2: Convert to fraction form
    5,470.30/8,200.14 = 4,357.00/x
  3. Step 3: Cross multiply
    5,470.30x = 8,200.14 × 4,357.00
  4. Step 4: Simplify right side
    5,470.30x = 35,728,020.23
  5. Step 5: Solve for x
    x = 35,728,020.23/5,470.30
  6. Step 6: Final answer
    x = 6,531.27

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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.