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Finding the Fourth Proportional to 3,013.83, 4,523.06 and 1,348.47

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Solution

The fourth proportional to 3,013.83, 4,523.06 and 1,348.47 is: 2,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.83 : 4,523.06 = 1,348.47 : x
  2. Step 2: Convert to fraction form
    3,013.83/4,523.06 = 1,348.47/x
  3. Step 3: Cross multiply
    3,013.83x = 4,523.06 × 1,348.47
  4. Step 4: Simplify right side
    3,013.83x = 6,099,210.72
  5. Step 5: Solve for x
    x = 6,099,210.72/3,013.83
  6. Step 6: Final answer
    x = 2,023.74

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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.