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Finding the Fourth Proportional to 4,340.54, 6,509.45 and 1,566.84

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Solution

The fourth proportional to 4,340.54, 6,509.45 and 1,566.84 is: 2,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.54 : 6,509.45 = 1,566.84 : x
  2. Step 2: Convert to fraction form
    4,340.54/6,509.45 = 1,566.84/x
  3. Step 3: Cross multiply
    4,340.54x = 6,509.45 × 1,566.84
  4. Step 4: Simplify right side
    4,340.54x = 10,199,286.15
  5. Step 5: Solve for x
    x = 10,199,286.15/4,340.54
  6. Step 6: Final answer
    x = 2,349.78

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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.