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Finding the Fourth Proportional to 5,646.76, 8,472.30 and 2,724.82

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Solution

The fourth proportional to 5,646.76, 8,472.30 and 2,724.82 is: 4,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.76 : 8,472.30 = 2,724.82 : x
  2. Step 2: Convert to fraction form
    5,646.76/8,472.30 = 2,724.82/x
  3. Step 3: Cross multiply
    5,646.76x = 8,472.30 × 2,724.82
  4. Step 4: Simplify right side
    5,646.76x = 23,085,492.49
  5. Step 5: Solve for x
    x = 23,085,492.49/5,646.76
  6. Step 6: Final answer
    x = 4,088.27

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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.