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Finding the Fourth Proportional to 5,658.02, 7,807.56 and 3,139.46

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Solution

The fourth proportional to 5,658.02, 7,807.56 and 3,139.46 is: 4,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.02 : 7,807.56 = 3,139.46 : x
  2. Step 2: Convert to fraction form
    5,658.02/7,807.56 = 3,139.46/x
  3. Step 3: Cross multiply
    5,658.02x = 7,807.56 × 3,139.46
  4. Step 4: Simplify right side
    5,658.02x = 24,511,522.32
  5. Step 5: Solve for x
    x = 24,511,522.32/5,658.02
  6. Step 6: Final answer
    x = 4,332.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.