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Finding the Fourth Proportional to 3,013.95, 4,498.86 and 2,784.30

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Solution

The fourth proportional to 3,013.95, 4,498.86 and 2,784.30 is: 4,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.95 : 4,498.86 = 2,784.30 : x
  2. Step 2: Convert to fraction form
    3,013.95/4,498.86 = 2,784.30/x
  3. Step 3: Cross multiply
    3,013.95x = 4,498.86 × 2,784.30
  4. Step 4: Simplify right side
    3,013.95x = 12,526,175.90
  5. Step 5: Solve for x
    x = 12,526,175.90/3,013.95
  6. Step 6: Final answer
    x = 4,156.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.