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Finding the Fourth Proportional to 3,062.09, 4,598.10 and 2,834.70

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Solution

The fourth proportional to 3,062.09, 4,598.10 and 2,834.70 is: 4,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.09 : 4,598.10 = 2,834.70 : x
  2. Step 2: Convert to fraction form
    3,062.09/4,598.10 = 2,834.70/x
  3. Step 3: Cross multiply
    3,062.09x = 4,598.10 × 2,834.70
  4. Step 4: Simplify right side
    3,062.09x = 13,034,234.07
  5. Step 5: Solve for x
    x = 13,034,234.07/3,062.09
  6. Step 6: Final answer
    x = 4,256.65

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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.