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Finding the Fourth Proportional to 3,587.42, 5,382.16 and 2,935.42

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Solution

The fourth proportional to 3,587.42, 5,382.16 and 2,935.42 is: 4,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.42 : 5,382.16 = 2,935.42 : x
  2. Step 2: Convert to fraction form
    3,587.42/5,382.16 = 2,935.42/x
  3. Step 3: Cross multiply
    3,587.42x = 5,382.16 × 2,935.42
  4. Step 4: Simplify right side
    3,587.42x = 15,798,900.11
  5. Step 5: Solve for x
    x = 15,798,900.11/3,587.42
  6. Step 6: Final answer
    x = 4,403.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.