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Finding the Fourth Proportional to 5,657.58, 7,807.64 and 3,139.88

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Solution

The fourth proportional to 5,657.58, 7,807.64 and 3,139.88 is: 4,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.58 : 7,807.64 = 3,139.88 : x
  2. Step 2: Convert to fraction form
    5,657.58/7,807.64 = 3,139.88/x
  3. Step 3: Cross multiply
    5,657.58x = 7,807.64 × 3,139.88
  4. Step 4: Simplify right side
    5,657.58x = 24,515,021.49
  5. Step 5: Solve for x
    x = 24,515,021.49/5,657.58
  6. Step 6: Final answer
    x = 4,333.13

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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.