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Finding the Fourth Proportional to 3,535.47, 4,878.92 and 1,963.58

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Solution

The fourth proportional to 3,535.47, 4,878.92 and 1,963.58 is: 2,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.47 : 4,878.92 = 1,963.58 : x
  2. Step 2: Convert to fraction form
    3,535.47/4,878.92 = 1,963.58/x
  3. Step 3: Cross multiply
    3,535.47x = 4,878.92 × 1,963.58
  4. Step 4: Simplify right side
    3,535.47x = 9,580,130.25
  5. Step 5: Solve for x
    x = 9,580,130.25/3,535.47
  6. Step 6: Final answer
    x = 2,709.72

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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.