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Finding the Fourth Proportional to 4,000.99, 6,001.48 and 1,534.46

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Solution

The fourth proportional to 4,000.99, 6,001.48 and 1,534.46 is: 2,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.99 : 6,001.48 = 1,534.46 : x
  2. Step 2: Convert to fraction form
    4,000.99/6,001.48 = 1,534.46/x
  3. Step 3: Cross multiply
    4,000.99x = 6,001.48 × 1,534.46
  4. Step 4: Simplify right side
    4,000.99x = 9,209,023.33
  5. Step 5: Solve for x
    x = 9,209,023.33/4,000.99
  6. Step 6: Final answer
    x = 2,301.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.