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Finding the Fourth Proportional to 4,003.59, 6,006.40 and 1,538.59

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Solution

The fourth proportional to 4,003.59, 6,006.40 and 1,538.59 is: 2,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.59 : 6,006.40 = 1,538.59 : x
  2. Step 2: Convert to fraction form
    4,003.59/6,006.40 = 1,538.59/x
  3. Step 3: Cross multiply
    4,003.59x = 6,006.40 × 1,538.59
  4. Step 4: Simplify right side
    4,003.59x = 9,241,386.98
  5. Step 5: Solve for x
    x = 9,241,386.98/4,003.59
  6. Step 6: Final answer
    x = 2,308.28

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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.