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Finding the Fourth Proportional to 5,209.93, 7,807.06 and 3,127.66

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Solution

The fourth proportional to 5,209.93, 7,807.06 and 3,127.66 is: 4,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.93 : 7,807.06 = 3,127.66 : x
  2. Step 2: Convert to fraction form
    5,209.93/7,807.06 = 3,127.66/x
  3. Step 3: Cross multiply
    5,209.93x = 7,807.06 × 3,127.66
  4. Step 4: Simplify right side
    5,209.93x = 24,417,839.99
  5. Step 5: Solve for x
    x = 24,417,839.99/5,209.93
  6. Step 6: Final answer
    x = 4,686.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.