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Finding the Fourth Proportional to 3,232.71, 4,852.09 and 1,590.43

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Solution

The fourth proportional to 3,232.71, 4,852.09 and 1,590.43 is: 2,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.71 : 4,852.09 = 1,590.43 : x
  2. Step 2: Convert to fraction form
    3,232.71/4,852.09 = 1,590.43/x
  3. Step 3: Cross multiply
    3,232.71x = 4,852.09 × 1,590.43
  4. Step 4: Simplify right side
    3,232.71x = 7,716,909.50
  5. Step 5: Solve for x
    x = 7,716,909.50/3,232.71
  6. Step 6: Final answer
    x = 2,387.13

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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.