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Finding the Fourth Proportional to 3,013.01, 4,519.90 and 1,038.13

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Solution

The fourth proportional to 3,013.01, 4,519.90 and 1,038.13 is: 1,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.01 : 4,519.90 = 1,038.13 : x
  2. Step 2: Convert to fraction form
    3,013.01/4,519.90 = 1,038.13/x
  3. Step 3: Cross multiply
    3,013.01x = 4,519.90 × 1,038.13
  4. Step 4: Simplify right side
    3,013.01x = 4,692,243.79
  5. Step 5: Solve for x
    x = 4,692,243.79/3,013.01
  6. Step 6: Final answer
    x = 1,557.33

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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.