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Finding the Fourth Proportional to 4,775.90, 7,160.13 and 2,275.78

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Solution

The fourth proportional to 4,775.90, 7,160.13 and 2,275.78 is: 3,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.90 : 7,160.13 = 2,275.78 : x
  2. Step 2: Convert to fraction form
    4,775.90/7,160.13 = 2,275.78/x
  3. Step 3: Cross multiply
    4,775.90x = 7,160.13 × 2,275.78
  4. Step 4: Simplify right side
    4,775.90x = 16,294,880.65
  5. Step 5: Solve for x
    x = 16,294,880.65/4,775.90
  6. Step 6: Final answer
    x = 3,411.90

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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.