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Finding the Fourth Proportional to 5,762.92, 7,944.45 and 4,962.78

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Solution

The fourth proportional to 5,762.92, 7,944.45 and 4,962.78 is: 6,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.92 : 7,944.45 = 4,962.78 : x
  2. Step 2: Convert to fraction form
    5,762.92/7,944.45 = 4,962.78/x
  3. Step 3: Cross multiply
    5,762.92x = 7,944.45 × 4,962.78
  4. Step 4: Simplify right side
    5,762.92x = 39,426,560.60
  5. Step 5: Solve for x
    x = 39,426,560.60/5,762.92
  6. Step 6: Final answer
    x = 6,841.43

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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.