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Finding the Fourth Proportional to 5,159.02, 7,737.84 and 1,461.57

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Solution

The fourth proportional to 5,159.02, 7,737.84 and 1,461.57 is: 2,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.02 : 7,737.84 = 1,461.57 : x
  2. Step 2: Convert to fraction form
    5,159.02/7,737.84 = 1,461.57/x
  3. Step 3: Cross multiply
    5,159.02x = 7,737.84 × 1,461.57
  4. Step 4: Simplify right side
    5,159.02x = 11,309,394.81
  5. Step 5: Solve for x
    x = 11,309,394.81/5,159.02
  6. Step 6: Final answer
    x = 2,192.16

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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.