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Finding the Fourth Proportional to 5,753.81, 7,905.85 and 4,572.83

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Solution

The fourth proportional to 5,753.81, 7,905.85 and 4,572.83 is: 6,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.81 : 7,905.85 = 4,572.83 : x
  2. Step 2: Convert to fraction form
    5,753.81/7,905.85 = 4,572.83/x
  3. Step 3: Cross multiply
    5,753.81x = 7,905.85 × 4,572.83
  4. Step 4: Simplify right side
    5,753.81x = 36,152,090.94
  5. Step 5: Solve for x
    x = 36,152,090.94/5,753.81
  6. Step 6: Final answer
    x = 6,283.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.