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Finding the Fourth Proportional to 5,747.54, 7,923.57 and 4,859.78

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Solution

The fourth proportional to 5,747.54, 7,923.57 and 4,859.78 is: 6,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.54 : 7,923.57 = 4,859.78 : x
  2. Step 2: Convert to fraction form
    5,747.54/7,923.57 = 4,859.78/x
  3. Step 3: Cross multiply
    5,747.54x = 7,923.57 × 4,859.78
  4. Step 4: Simplify right side
    5,747.54x = 38,506,807.01
  5. Step 5: Solve for x
    x = 38,506,807.01/5,747.54
  6. Step 6: Final answer
    x = 6,699.70

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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.