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Finding the Fourth Proportional to 4,854.89, 6,695.62 and 4,102.35

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Solution

The fourth proportional to 4,854.89, 6,695.62 and 4,102.35 is: 5,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.89 : 6,695.62 = 4,102.35 : x
  2. Step 2: Convert to fraction form
    4,854.89/6,695.62 = 4,102.35/x
  3. Step 3: Cross multiply
    4,854.89x = 6,695.62 × 4,102.35
  4. Step 4: Simplify right side
    4,854.89x = 27,467,766.45
  5. Step 5: Solve for x
    x = 27,467,766.45/4,854.89
  6. Step 6: Final answer
    x = 5,657.75

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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.