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Finding the Fourth Proportional to 4,762.80, 6,583.68 and 3,972.24

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Solution

The fourth proportional to 4,762.80, 6,583.68 and 3,972.24 is: 5,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.80 : 6,583.68 = 3,972.24 : x
  2. Step 2: Convert to fraction form
    4,762.80/6,583.68 = 3,972.24/x
  3. Step 3: Cross multiply
    4,762.80x = 6,583.68 × 3,972.24
  4. Step 4: Simplify right side
    4,762.80x = 26,151,957.04
  5. Step 5: Solve for x
    x = 26,151,957.04/4,762.80
  6. Step 6: Final answer
    x = 5,490.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.