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Finding the Fourth Proportional to 4,949.16, 6,829.74 and 2,853

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Solution

The fourth proportional to 4,949.16, 6,829.74 and 2,853 is: 3,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.16 : 6,829.74 = 2,853 : x
  2. Step 2: Convert to fraction form
    4,949.16/6,829.74 = 2,853/x
  3. Step 3: Cross multiply
    4,949.16x = 6,829.74 × 2,853
  4. Step 4: Simplify right side
    4,949.16x = 19,485,248.22
  5. Step 5: Solve for x
    x = 19,485,248.22/4,949.16
  6. Step 6: Final answer
    x = 3,937.08

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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.