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Finding the Fourth Proportional to 5,152.42, 7,729.17 and 1,689.67

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Solution

The fourth proportional to 5,152.42, 7,729.17 and 1,689.67 is: 2,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.42 : 7,729.17 = 1,689.67 : x
  2. Step 2: Convert to fraction form
    5,152.42/7,729.17 = 1,689.67/x
  3. Step 3: Cross multiply
    5,152.42x = 7,729.17 × 1,689.67
  4. Step 4: Simplify right side
    5,152.42x = 13,059,746.67
  5. Step 5: Solve for x
    x = 13,059,746.67/5,152.42
  6. Step 6: Final answer
    x = 2,534.68

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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.