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Finding the Fourth Proportional to 3,656.40, 5,046 and 2,084.56

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Solution

The fourth proportional to 3,656.40, 5,046 and 2,084.56 is: 2,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.40 : 5,046 = 2,084.56 : x
  2. Step 2: Convert to fraction form
    3,656.40/5,046 = 2,084.56/x
  3. Step 3: Cross multiply
    3,656.40x = 5,046 × 2,084.56
  4. Step 4: Simplify right side
    3,656.40x = 10,518,689.76
  5. Step 5: Solve for x
    x = 10,518,689.76/3,656.40
  6. Step 6: Final answer
    x = 2,876.79

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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.