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Finding the Fourth Proportional to 5,569.72, 7,686.13 and 3,051.83

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Solution

The fourth proportional to 5,569.72, 7,686.13 and 3,051.83 is: 4,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.72 : 7,686.13 = 3,051.83 : x
  2. Step 2: Convert to fraction form
    5,569.72/7,686.13 = 3,051.83/x
  3. Step 3: Cross multiply
    5,569.72x = 7,686.13 × 3,051.83
  4. Step 4: Simplify right side
    5,569.72x = 23,456,716.77
  5. Step 5: Solve for x
    x = 23,456,716.77/5,569.72
  6. Step 6: Final answer
    x = 4,211.47

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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.