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Finding the Fourth Proportional to 5,100.22, 7,651.01 and 1,590.46

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Solution

The fourth proportional to 5,100.22, 7,651.01 and 1,590.46 is: 2,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.22 : 7,651.01 = 1,590.46 : x
  2. Step 2: Convert to fraction form
    5,100.22/7,651.01 = 1,590.46/x
  3. Step 3: Cross multiply
    5,100.22x = 7,651.01 × 1,590.46
  4. Step 4: Simplify right side
    5,100.22x = 12,168,622.79
  5. Step 5: Solve for x
    x = 12,168,622.79/5,100.22
  6. Step 6: Final answer
    x = 2,385.90

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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.