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Finding the Fourth Proportional to 5,569.65, 7,686.35 and 3,051.98

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Solution

The fourth proportional to 5,569.65, 7,686.35 and 3,051.98 is: 4,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.65 : 7,686.35 = 3,051.98 : x
  2. Step 2: Convert to fraction form
    5,569.65/7,686.35 = 3,051.98/x
  3. Step 3: Cross multiply
    5,569.65x = 7,686.35 × 3,051.98
  4. Step 4: Simplify right side
    5,569.65x = 23,458,532.78
  5. Step 5: Solve for x
    x = 23,458,532.78/5,569.65
  6. Step 6: Final answer
    x = 4,211.85

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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.