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Finding the Fourth Proportional to 3,002.95, 4,514.11 and 2,784.59

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Solution

The fourth proportional to 3,002.95, 4,514.11 and 2,784.59 is: 4,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.95 : 4,514.11 = 2,784.59 : x
  2. Step 2: Convert to fraction form
    3,002.95/4,514.11 = 2,784.59/x
  3. Step 3: Cross multiply
    3,002.95x = 4,514.11 × 2,784.59
  4. Step 4: Simplify right side
    3,002.95x = 12,569,916.03
  5. Step 5: Solve for x
    x = 12,569,916.03/3,002.95
  6. Step 6: Final answer
    x = 4,185.86

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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.