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Finding the Fourth Proportional to 4,913.34, 6,780.78 and 2,817.78

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Solution

The fourth proportional to 4,913.34, 6,780.78 and 2,817.78 is: 3,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.34 : 6,780.78 = 2,817.78 : x
  2. Step 2: Convert to fraction form
    4,913.34/6,780.78 = 2,817.78/x
  3. Step 3: Cross multiply
    4,913.34x = 6,780.78 × 2,817.78
  4. Step 4: Simplify right side
    4,913.34x = 19,106,746.27
  5. Step 5: Solve for x
    x = 19,106,746.27/4,913.34
  6. Step 6: Final answer
    x = 3,888.75

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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.