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Finding the Fourth Proportional to 5,569.65, 7,686.01 and 3,051.76

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Solution

The fourth proportional to 5,569.65, 7,686.01 and 3,051.76 is: 4,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.65 : 7,686.01 = 3,051.76 : x
  2. Step 2: Convert to fraction form
    5,569.65/7,686.01 = 3,051.76/x
  3. Step 3: Cross multiply
    5,569.65x = 7,686.01 × 3,051.76
  4. Step 4: Simplify right side
    5,569.65x = 23,455,865.47
  5. Step 5: Solve for x
    x = 23,455,865.47/5,569.65
  6. Step 6: Final answer
    x = 4,211.37

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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.