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Finding the Fourth Proportional to 3,440.43, 5,160.58 and 975.20

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Solution

The fourth proportional to 3,440.43, 5,160.58 and 975.20 is: 1,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.43 : 5,160.58 = 975.20 : x
  2. Step 2: Convert to fraction form
    3,440.43/5,160.58 = 975.20/x
  3. Step 3: Cross multiply
    3,440.43x = 5,160.58 × 975.20
  4. Step 4: Simplify right side
    3,440.43x = 5,032,569.38
  5. Step 5: Solve for x
    x = 5,032,569.38/3,440.43
  6. Step 6: Final answer
    x = 1,462.77

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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.