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Finding the Fourth Proportional to 5,569.14, 7,685.65 and 3,051.47

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Solution

The fourth proportional to 5,569.14, 7,685.65 and 3,051.47 is: 4,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.14 : 7,685.65 = 3,051.47 : x
  2. Step 2: Convert to fraction form
    5,569.14/7,685.65 = 3,051.47/x
  3. Step 3: Cross multiply
    5,569.14x = 7,685.65 × 3,051.47
  4. Step 4: Simplify right side
    5,569.14x = 23,452,530.41
  5. Step 5: Solve for x
    x = 23,452,530.41/5,569.14
  6. Step 6: Final answer
    x = 4,211.16

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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.