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Finding the Fourth Proportional to 5,652.96, 8,478.48 and 1,548

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Solution

The fourth proportional to 5,652.96, 8,478.48 and 1,548 is: 2,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.96 : 8,478.48 = 1,548 : x
  2. Step 2: Convert to fraction form
    5,652.96/8,478.48 = 1,548/x
  3. Step 3: Cross multiply
    5,652.96x = 8,478.48 × 1,548
  4. Step 4: Simplify right side
    5,652.96x = 13,124,687.04
  5. Step 5: Solve for x
    x = 13,124,687.04/5,652.96
  6. Step 6: Final answer
    x = 2,321.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.