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Finding the Fourth Proportional to 5,646.65, 8,465.34 and 2,134.67

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Solution

The fourth proportional to 5,646.65, 8,465.34 and 2,134.67 is: 3,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.65 : 8,465.34 = 2,134.67 : x
  2. Step 2: Convert to fraction form
    5,646.65/8,465.34 = 2,134.67/x
  3. Step 3: Cross multiply
    5,646.65x = 8,465.34 × 2,134.67
  4. Step 4: Simplify right side
    5,646.65x = 18,070,720.63
  5. Step 5: Solve for x
    x = 18,070,720.63/5,646.65
  6. Step 6: Final answer
    x = 3,200.26

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