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Finding the Fourth Proportional to 3,908.16, 5,862.06 and 1,134.77

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Solution

The fourth proportional to 3,908.16, 5,862.06 and 1,134.77 is: 1,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.16 : 5,862.06 = 1,134.77 : x
  2. Step 2: Convert to fraction form
    3,908.16/5,862.06 = 1,134.77/x
  3. Step 3: Cross multiply
    3,908.16x = 5,862.06 × 1,134.77
  4. Step 4: Simplify right side
    3,908.16x = 6,652,089.83
  5. Step 5: Solve for x
    x = 6,652,089.83/3,908.16
  6. Step 6: Final answer
    x = 1,702.10

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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.