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Finding the Fourth Proportional to 5,295.18, 7,306.14 and 3,407.40

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Solution

The fourth proportional to 5,295.18, 7,306.14 and 3,407.40 is: 4,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.18 : 7,306.14 = 3,407.40 : x
  2. Step 2: Convert to fraction form
    5,295.18/7,306.14 = 3,407.40/x
  3. Step 3: Cross multiply
    5,295.18x = 7,306.14 × 3,407.40
  4. Step 4: Simplify right side
    5,295.18x = 24,894,941.44
  5. Step 5: Solve for x
    x = 24,894,941.44/5,295.18
  6. Step 6: Final answer
    x = 4,701.43

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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.