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Finding the Fourth Proportional to 4,430.80, 6,113.40 and 2,857

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Solution

The fourth proportional to 4,430.80, 6,113.40 and 2,857 is: 3,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.80 : 6,113.40 = 2,857 : x
  2. Step 2: Convert to fraction form
    4,430.80/6,113.40 = 2,857/x
  3. Step 3: Cross multiply
    4,430.80x = 6,113.40 × 2,857
  4. Step 4: Simplify right side
    4,430.80x = 17,465,983.80
  5. Step 5: Solve for x
    x = 17,465,983.80/4,430.80
  6. Step 6: Final answer
    x = 3,941.95

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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.