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Finding the Fourth Proportional to 5,461.72, 8,192.70 and 1,566.28

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Solution

The fourth proportional to 5,461.72, 8,192.70 and 1,566.28 is: 2,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.72 : 8,192.70 = 1,566.28 : x
  2. Step 2: Convert to fraction form
    5,461.72/8,192.70 = 1,566.28/x
  3. Step 3: Cross multiply
    5,461.72x = 8,192.70 × 1,566.28
  4. Step 4: Simplify right side
    5,461.72x = 12,832,062.16
  5. Step 5: Solve for x
    x = 12,832,062.16/5,461.72
  6. Step 6: Final answer
    x = 2,349.45

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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.