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Finding the Fourth Proportional to 3,535.16, 4,878.27 and 2,696.40

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Solution

The fourth proportional to 3,535.16, 4,878.27 and 2,696.40 is: 3,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.16 : 4,878.27 = 2,696.40 : x
  2. Step 2: Convert to fraction form
    3,535.16/4,878.27 = 2,696.40/x
  3. Step 3: Cross multiply
    3,535.16x = 4,878.27 × 2,696.40
  4. Step 4: Simplify right side
    3,535.16x = 13,153,767.23
  5. Step 5: Solve for x
    x = 13,153,767.23/3,535.16
  6. Step 6: Final answer
    x = 3,720.85

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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.