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Finding the Fourth Proportional to 4,297, 5,913.12 and 4,154.44

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Solution

The fourth proportional to 4,297, 5,913.12 and 4,154.44 is: 5,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297 : 5,913.12 = 4,154.44 : x
  2. Step 2: Convert to fraction form
    4,297/5,913.12 = 4,154.44/x
  3. Step 3: Cross multiply
    4,297x = 5,913.12 × 4,154.44
  4. Step 4: Simplify right side
    4,297x = 24,565,702.25
  5. Step 5: Solve for x
    x = 24,565,702.25/4,297
  6. Step 6: Final answer
    x = 5,716.94

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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.