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Finding the Fourth Proportional to 5,731.84, 7,887.02 and 5,560.66

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Solution

The fourth proportional to 5,731.84, 7,887.02 and 5,560.66 is: 7,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.84 : 7,887.02 = 5,560.66 : x
  2. Step 2: Convert to fraction form
    5,731.84/7,887.02 = 5,560.66/x
  3. Step 3: Cross multiply
    5,731.84x = 7,887.02 × 5,560.66
  4. Step 4: Simplify right side
    5,731.84x = 43,857,036.63
  5. Step 5: Solve for x
    x = 43,857,036.63/5,731.84
  6. Step 6: Final answer
    x = 7,651.48

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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.