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Finding the Fourth Proportional to 5,702.19, 7,869.06 and 3,344.36

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Solution

The fourth proportional to 5,702.19, 7,869.06 and 3,344.36 is: 4,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.19 : 7,869.06 = 3,344.36 : x
  2. Step 2: Convert to fraction form
    5,702.19/7,869.06 = 3,344.36/x
  3. Step 3: Cross multiply
    5,702.19x = 7,869.06 × 3,344.36
  4. Step 4: Simplify right side
    5,702.19x = 26,316,930.16
  5. Step 5: Solve for x
    x = 26,316,930.16/5,702.19
  6. Step 6: Final answer
    x = 4,615.23

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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.