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Finding the Fourth Proportional to 5,731.41, 7,898.64 and 4,470.48

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Solution

The fourth proportional to 5,731.41, 7,898.64 and 4,470.48 is: 6,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.41 : 7,898.64 = 4,470.48 : x
  2. Step 2: Convert to fraction form
    5,731.41/7,898.64 = 4,470.48/x
  3. Step 3: Cross multiply
    5,731.41x = 7,898.64 × 4,470.48
  4. Step 4: Simplify right side
    5,731.41x = 35,310,712.15
  5. Step 5: Solve for x
    x = 35,310,712.15/5,731.41
  6. Step 6: Final answer
    x = 6,160.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.