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Finding the Fourth Proportional to 5,648.10, 8,472.15 and 4,190.10

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Solution

The fourth proportional to 5,648.10, 8,472.15 and 4,190.10 is: 6,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.10 : 8,472.15 = 4,190.10 : x
  2. Step 2: Convert to fraction form
    5,648.10/8,472.15 = 4,190.10/x
  3. Step 3: Cross multiply
    5,648.10x = 8,472.15 × 4,190.10
  4. Step 4: Simplify right side
    5,648.10x = 35,499,155.72
  5. Step 5: Solve for x
    x = 35,499,155.72/5,648.10
  6. Step 6: Final answer
    x = 6,285.15

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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.