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Finding the Fourth Proportional to 5,763.02, 8,646.81 and 2,640.77

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Solution

The fourth proportional to 5,763.02, 8,646.81 and 2,640.77 is: 3,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.02 : 8,646.81 = 2,640.77 : x
  2. Step 2: Convert to fraction form
    5,763.02/8,646.81 = 2,640.77/x
  3. Step 3: Cross multiply
    5,763.02x = 8,646.81 × 2,640.77
  4. Step 4: Simplify right side
    5,763.02x = 22,834,248.16
  5. Step 5: Solve for x
    x = 22,834,248.16/5,763.02
  6. Step 6: Final answer
    x = 3,962.20

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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.