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Finding the Fourth Proportional to 5,735, 7,913.08 and 3,376.28

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Solution

The fourth proportional to 5,735, 7,913.08 and 3,376.28 is: 4,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735 : 7,913.08 = 3,376.28 : x
  2. Step 2: Convert to fraction form
    5,735/7,913.08 = 3,376.28/x
  3. Step 3: Cross multiply
    5,735x = 7,913.08 × 3,376.28
  4. Step 4: Simplify right side
    5,735x = 26,716,773.74
  5. Step 5: Solve for x
    x = 26,716,773.74/5,735
  6. Step 6: Final answer
    x = 4,658.55

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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.