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Finding the Fourth Proportional to 5,106.18, 7,662.52 and 4,788.66

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Solution

The fourth proportional to 5,106.18, 7,662.52 and 4,788.66 is: 7,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.18 : 7,662.52 = 4,788.66 : x
  2. Step 2: Convert to fraction form
    5,106.18/7,662.52 = 4,788.66/x
  3. Step 3: Cross multiply
    5,106.18x = 7,662.52 × 4,788.66
  4. Step 4: Simplify right side
    5,106.18x = 36,693,203.02
  5. Step 5: Solve for x
    x = 36,693,203.02/5,106.18
  6. Step 6: Final answer
    x = 7,186.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.