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Finding the Fourth Proportional to 5,740.48, 7,911.80 and 4,941.82

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Solution

The fourth proportional to 5,740.48, 7,911.80 and 4,941.82 is: 6,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.48 : 7,911.80 = 4,941.82 : x
  2. Step 2: Convert to fraction form
    5,740.48/7,911.80 = 4,941.82/x
  3. Step 3: Cross multiply
    5,740.48x = 7,911.80 × 4,941.82
  4. Step 4: Simplify right side
    5,740.48x = 39,098,691.48
  5. Step 5: Solve for x
    x = 39,098,691.48/5,740.48
  6. Step 6: Final answer
    x = 6,811.05

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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.