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Finding the Fourth Proportional to 5,658.30, 8,487.45 and 4,200.30

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Solution

The fourth proportional to 5,658.30, 8,487.45 and 4,200.30 is: 6,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.30 : 8,487.45 = 4,200.30 : x
  2. Step 2: Convert to fraction form
    5,658.30/8,487.45 = 4,200.30/x
  3. Step 3: Cross multiply
    5,658.30x = 8,487.45 × 4,200.30
  4. Step 4: Simplify right side
    5,658.30x = 35,649,836.24
  5. Step 5: Solve for x
    x = 35,649,836.24/5,658.30
  6. Step 6: Final answer
    x = 6,300.45

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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.