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Finding the Fourth Proportional to 5,644.40, 8,461.80 and 5,061.20

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Solution

The fourth proportional to 5,644.40, 8,461.80 and 5,061.20 is: 7,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.40 : 8,461.80 = 5,061.20 : x
  2. Step 2: Convert to fraction form
    5,644.40/8,461.80 = 5,061.20/x
  3. Step 3: Cross multiply
    5,644.40x = 8,461.80 × 5,061.20
  4. Step 4: Simplify right side
    5,644.40x = 42,826,862.16
  5. Step 5: Solve for x
    x = 42,826,862.16/5,644.40
  6. Step 6: Final answer
    x = 7,587.50

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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.