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Finding the Fourth Proportional to 3,262.16, 4,502.08 and 1,865.28

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Solution

The fourth proportional to 3,262.16, 4,502.08 and 1,865.28 is: 2,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.16 : 4,502.08 = 1,865.28 : x
  2. Step 2: Convert to fraction form
    3,262.16/4,502.08 = 1,865.28/x
  3. Step 3: Cross multiply
    3,262.16x = 4,502.08 × 1,865.28
  4. Step 4: Simplify right side
    3,262.16x = 8,397,639.78
  5. Step 5: Solve for x
    x = 8,397,639.78/3,262.16
  6. Step 6: Final answer
    x = 2,574.26

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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.