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Finding the Fourth Proportional to 5,569.29, 7,684.07 and 4,386.69

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Solution

The fourth proportional to 5,569.29, 7,684.07 and 4,386.69 is: 6,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.29 : 7,684.07 = 4,386.69 : x
  2. Step 2: Convert to fraction form
    5,569.29/7,684.07 = 4,386.69/x
  3. Step 3: Cross multiply
    5,569.29x = 7,684.07 × 4,386.69
  4. Step 4: Simplify right side
    5,569.29x = 33,707,611.09
  5. Step 5: Solve for x
    x = 33,707,611.09/5,569.29
  6. Step 6: Final answer
    x = 6,052.41

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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.