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Finding the Fourth Proportional to 5,731.94, 7,909.98 and 4,845

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Solution

The fourth proportional to 5,731.94, 7,909.98 and 4,845 is: 6,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.94 : 7,909.98 = 4,845 : x
  2. Step 2: Convert to fraction form
    5,731.94/7,909.98 = 4,845/x
  3. Step 3: Cross multiply
    5,731.94x = 7,909.98 × 4,845
  4. Step 4: Simplify right side
    5,731.94x = 38,323,853.10
  5. Step 5: Solve for x
    x = 38,323,853.10/5,731.94
  6. Step 6: Final answer
    x = 6,686.02

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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.