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Finding the Fourth Proportional to 4,877.84, 7,316.82 and 2,102.78

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Solution

The fourth proportional to 4,877.84, 7,316.82 and 2,102.78 is: 3,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.84 : 7,316.82 = 2,102.78 : x
  2. Step 2: Convert to fraction form
    4,877.84/7,316.82 = 2,102.78/x
  3. Step 3: Cross multiply
    4,877.84x = 7,316.82 × 2,102.78
  4. Step 4: Simplify right side
    4,877.84x = 15,385,626.18
  5. Step 5: Solve for x
    x = 15,385,626.18/4,877.84
  6. Step 6: Final answer
    x = 3,154.19

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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.