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Finding the Fourth Proportional to 4,110, 5,671.12 and 2,317.28

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Solution

The fourth proportional to 4,110, 5,671.12 and 2,317.28 is: 3,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110 : 5,671.12 = 2,317.28 : x
  2. Step 2: Convert to fraction form
    4,110/5,671.12 = 2,317.28/x
  3. Step 3: Cross multiply
    4,110x = 5,671.12 × 2,317.28
  4. Step 4: Simplify right side
    4,110x = 13,141,572.95
  5. Step 5: Solve for x
    x = 13,141,572.95/4,110
  6. Step 6: Final answer
    x = 3,197.46

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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.