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Finding the Fourth Proportional to 4,133.89, 5,702.25 and 2,454.16

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Solution

The fourth proportional to 4,133.89, 5,702.25 and 2,454.16 is: 3,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.89 : 5,702.25 = 2,454.16 : x
  2. Step 2: Convert to fraction form
    4,133.89/5,702.25 = 2,454.16/x
  3. Step 3: Cross multiply
    4,133.89x = 5,702.25 × 2,454.16
  4. Step 4: Simplify right side
    4,133.89x = 13,994,233.86
  5. Step 5: Solve for x
    x = 13,994,233.86/4,133.89
  6. Step 6: Final answer
    x = 3,385.25

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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.