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Finding the Fourth Proportional to 5,655.78, 7,800.17 and 3,976.65

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Solution

The fourth proportional to 5,655.78, 7,800.17 and 3,976.65 is: 5,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.78 : 7,800.17 = 3,976.65 : x
  2. Step 2: Convert to fraction form
    5,655.78/7,800.17 = 3,976.65/x
  3. Step 3: Cross multiply
    5,655.78x = 7,800.17 × 3,976.65
  4. Step 4: Simplify right side
    5,655.78x = 31,018,526.15
  5. Step 5: Solve for x
    x = 31,018,526.15/5,655.78
  6. Step 6: Final answer
    x = 5,484.39

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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.