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Finding the Fourth Proportional to 3,440.78, 5,160.96 and 975.95

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Solution

The fourth proportional to 3,440.78, 5,160.96 and 975.95 is: 1,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.78 : 5,160.96 = 975.95 : x
  2. Step 2: Convert to fraction form
    3,440.78/5,160.96 = 975.95/x
  3. Step 3: Cross multiply
    3,440.78x = 5,160.96 × 975.95
  4. Step 4: Simplify right side
    3,440.78x = 5,036,813.11
  5. Step 5: Solve for x
    x = 5,036,813.11/3,440.78
  6. Step 6: Final answer
    x = 1,463.86

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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.