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Finding the Fourth Proportional to 3,486, 4,812.90 and 2,246.16

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Solution

The fourth proportional to 3,486, 4,812.90 and 2,246.16 is: 3,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 4,812.90 = 2,246.16 : x
  2. Step 2: Convert to fraction form
    3,486/4,812.90 = 2,246.16/x
  3. Step 3: Cross multiply
    3,486x = 4,812.90 × 2,246.16
  4. Step 4: Simplify right side
    3,486x = 10,810,543.46
  5. Step 5: Solve for x
    x = 10,810,543.46/3,486
  6. Step 6: Final answer
    x = 3,101.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.