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Finding the Fourth Proportional to 3,652.32, 5,039.20 and 3,534.04

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Solution

The fourth proportional to 3,652.32, 5,039.20 and 3,534.04 is: 4,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.32 : 5,039.20 = 3,534.04 : x
  2. Step 2: Convert to fraction form
    3,652.32/5,039.20 = 3,534.04/x
  3. Step 3: Cross multiply
    3,652.32x = 5,039.20 × 3,534.04
  4. Step 4: Simplify right side
    3,652.32x = 17,808,734.37
  5. Step 5: Solve for x
    x = 17,808,734.37/3,652.32
  6. Step 6: Final answer
    x = 4,876.01

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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.