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Finding the Fourth Proportional to 3,002.13, 4,473 and 2,834.46

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Solution

The fourth proportional to 3,002.13, 4,473 and 2,834.46 is: 4,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.13 : 4,473 = 2,834.46 : x
  2. Step 2: Convert to fraction form
    3,002.13/4,473 = 2,834.46/x
  3. Step 3: Cross multiply
    3,002.13x = 4,473 × 2,834.46
  4. Step 4: Simplify right side
    3,002.13x = 12,678,539.58
  5. Step 5: Solve for x
    x = 12,678,539.58/3,002.13
  6. Step 6: Final answer
    x = 4,223.18

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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.