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Finding the Fourth Proportional to 3,613.24, 4,986.32 and 1,957.24

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Solution

The fourth proportional to 3,613.24, 4,986.32 and 1,957.24 is: 2,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.24 : 4,986.32 = 1,957.24 : x
  2. Step 2: Convert to fraction form
    3,613.24/4,986.32 = 1,957.24/x
  3. Step 3: Cross multiply
    3,613.24x = 4,986.32 × 1,957.24
  4. Step 4: Simplify right side
    3,613.24x = 9,759,424.96
  5. Step 5: Solve for x
    x = 9,759,424.96/3,613.24
  6. Step 6: Final answer
    x = 2,701.02

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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.