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Finding the Fourth Proportional to 5,974.02, 8,959.21 and 1,590.91

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Solution

The fourth proportional to 5,974.02, 8,959.21 and 1,590.91 is: 2,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.02 : 8,959.21 = 1,590.91 : x
  2. Step 2: Convert to fraction form
    5,974.02/8,959.21 = 1,590.91/x
  3. Step 3: Cross multiply
    5,974.02x = 8,959.21 × 1,590.91
  4. Step 4: Simplify right side
    5,974.02x = 14,253,270.41
  5. Step 5: Solve for x
    x = 14,253,270.41/5,974.02
  6. Step 6: Final answer
    x = 2,385.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.