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Finding the Fourth Proportional to 4,877.95, 7,316.85 and 1,180.16

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Solution

The fourth proportional to 4,877.95, 7,316.85 and 1,180.16 is: 1,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.95 : 7,316.85 = 1,180.16 : x
  2. Step 2: Convert to fraction form
    4,877.95/7,316.85 = 1,180.16/x
  3. Step 3: Cross multiply
    4,877.95x = 7,316.85 × 1,180.16
  4. Step 4: Simplify right side
    4,877.95x = 8,635,053.70
  5. Step 5: Solve for x
    x = 8,635,053.70/4,877.95
  6. Step 6: Final answer
    x = 1,770.22

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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.