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Finding the Fourth Proportional to 4,463.68, 6,155.76 and 2,890

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Solution

The fourth proportional to 4,463.68, 6,155.76 and 2,890 is: 3,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.68 : 6,155.76 = 2,890 : x
  2. Step 2: Convert to fraction form
    4,463.68/6,155.76 = 2,890/x
  3. Step 3: Cross multiply
    4,463.68x = 6,155.76 × 2,890
  4. Step 4: Simplify right side
    4,463.68x = 17,790,146.40
  5. Step 5: Solve for x
    x = 17,790,146.40/4,463.68
  6. Step 6: Final answer
    x = 3,985.53

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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.