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Finding the Fourth Proportional to 4,002.55, 6,005.14 and 1,538.06

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Solution

The fourth proportional to 4,002.55, 6,005.14 and 1,538.06 is: 2,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.55 : 6,005.14 = 1,538.06 : x
  2. Step 2: Convert to fraction form
    4,002.55/6,005.14 = 1,538.06/x
  3. Step 3: Cross multiply
    4,002.55x = 6,005.14 × 1,538.06
  4. Step 4: Simplify right side
    4,002.55x = 9,236,231.76
  5. Step 5: Solve for x
    x = 9,236,231.76/4,002.55
  6. Step 6: Final answer
    x = 2,307.59

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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.