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Finding the Fourth Proportional to 3,899.28, 5,848.84 and 1,590.80

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Solution

The fourth proportional to 3,899.28, 5,848.84 and 1,590.80 is: 2,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.28 : 5,848.84 = 1,590.80 : x
  2. Step 2: Convert to fraction form
    3,899.28/5,848.84 = 1,590.80/x
  3. Step 3: Cross multiply
    3,899.28x = 5,848.84 × 1,590.80
  4. Step 4: Simplify right side
    3,899.28x = 9,304,334.67
  5. Step 5: Solve for x
    x = 9,304,334.67/3,899.28
  6. Step 6: Final answer
    x = 2,386.17

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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.