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Finding the Fourth Proportional to 5,752, 8,630.88 and 2,632

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Solution

The fourth proportional to 5,752, 8,630.88 and 2,632 is: 3,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752 : 8,630.88 = 2,632 : x
  2. Step 2: Convert to fraction form
    5,752/8,630.88 = 2,632/x
  3. Step 3: Cross multiply
    5,752x = 8,630.88 × 2,632
  4. Step 4: Simplify right side
    5,752x = 22,716,476.16
  5. Step 5: Solve for x
    x = 22,716,476.16/5,752
  6. Step 6: Final answer
    x = 3,949.32

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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.