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Finding the Fourth Proportional to 5,775.88, 7,962.42 and 4,117

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Solution

The fourth proportional to 5,775.88, 7,962.42 and 4,117 is: 5,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.88 : 7,962.42 = 4,117 : x
  2. Step 2: Convert to fraction form
    5,775.88/7,962.42 = 4,117/x
  3. Step 3: Cross multiply
    5,775.88x = 7,962.42 × 4,117
  4. Step 4: Simplify right side
    5,775.88x = 32,781,283.14
  5. Step 5: Solve for x
    x = 32,781,283.14/5,775.88
  6. Step 6: Final answer
    x = 5,675.55

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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.