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Finding the Fourth Proportional to 5,146.77, 7,719.22 and 1,637.15

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Solution

The fourth proportional to 5,146.77, 7,719.22 and 1,637.15 is: 2,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.77 : 7,719.22 = 1,637.15 : x
  2. Step 2: Convert to fraction form
    5,146.77/7,719.22 = 1,637.15/x
  3. Step 3: Cross multiply
    5,146.77x = 7,719.22 × 1,637.15
  4. Step 4: Simplify right side
    5,146.77x = 12,637,521.02
  5. Step 5: Solve for x
    x = 12,637,521.02/5,146.77
  6. Step 6: Final answer
    x = 2,455.43

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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.