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Finding the Fourth Proportional to 5,735.62, 7,916.27 and 3,345.87

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Solution

The fourth proportional to 5,735.62, 7,916.27 and 3,345.87 is: 4,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.62 : 7,916.27 = 3,345.87 : x
  2. Step 2: Convert to fraction form
    5,735.62/7,916.27 = 3,345.87/x
  3. Step 3: Cross multiply
    5,735.62x = 7,916.27 × 3,345.87
  4. Step 4: Simplify right side
    5,735.62x = 26,486,810.30
  5. Step 5: Solve for x
    x = 26,486,810.30/5,735.62
  6. Step 6: Final answer
    x = 4,617.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.