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Finding the Fourth Proportional to 3,899.68, 5,848.38 and 1,267.24

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Solution

The fourth proportional to 3,899.68, 5,848.38 and 1,267.24 is: 1,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.68 : 5,848.38 = 1,267.24 : x
  2. Step 2: Convert to fraction form
    3,899.68/5,848.38 = 1,267.24/x
  3. Step 3: Cross multiply
    3,899.68x = 5,848.38 × 1,267.24
  4. Step 4: Simplify right side
    3,899.68x = 7,411,301.07
  5. Step 5: Solve for x
    x = 7,411,301.07/3,899.68
  6. Step 6: Final answer
    x = 1,900.49

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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.