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Finding the Fourth Proportional to 5,710, 8,566.08 and 2,632

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Solution

The fourth proportional to 5,710, 8,566.08 and 2,632 is: 3,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710 : 8,566.08 = 2,632 : x
  2. Step 2: Convert to fraction form
    5,710/8,566.08 = 2,632/x
  3. Step 3: Cross multiply
    5,710x = 8,566.08 × 2,632
  4. Step 4: Simplify right side
    5,710x = 22,545,922.56
  5. Step 5: Solve for x
    x = 22,545,922.56/5,710
  6. Step 6: Final answer
    x = 3,948.50

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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.