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Finding the Fourth Proportional to 3,523.71, 5,287.04 and 1,548.32

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Solution

The fourth proportional to 3,523.71, 5,287.04 and 1,548.32 is: 2,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.71 : 5,287.04 = 1,548.32 : x
  2. Step 2: Convert to fraction form
    3,523.71/5,287.04 = 1,548.32/x
  3. Step 3: Cross multiply
    3,523.71x = 5,287.04 × 1,548.32
  4. Step 4: Simplify right side
    3,523.71x = 8,186,029.77
  5. Step 5: Solve for x
    x = 8,186,029.77/3,523.71
  6. Step 6: Final answer
    x = 2,323.13

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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.