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Finding the Fourth Proportional to 5,604.67, 7,729.29 and 3,689.67

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Solution

The fourth proportional to 5,604.67, 7,729.29 and 3,689.67 is: 5,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.67 : 7,729.29 = 3,689.67 : x
  2. Step 2: Convert to fraction form
    5,604.67/7,729.29 = 3,689.67/x
  3. Step 3: Cross multiply
    5,604.67x = 7,729.29 × 3,689.67
  4. Step 4: Simplify right side
    5,604.67x = 28,518,558.42
  5. Step 5: Solve for x
    x = 28,518,558.42/5,604.67
  6. Step 6: Final answer
    x = 5,088.36

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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.