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Finding the Fourth Proportional to 4,340.46, 6,509.36 and 1,566.79

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Solution

The fourth proportional to 4,340.46, 6,509.36 and 1,566.79 is: 2,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.46 : 6,509.36 = 1,566.79 : x
  2. Step 2: Convert to fraction form
    4,340.46/6,509.36 = 1,566.79/x
  3. Step 3: Cross multiply
    4,340.46x = 6,509.36 × 1,566.79
  4. Step 4: Simplify right side
    4,340.46x = 10,198,800.15
  5. Step 5: Solve for x
    x = 10,198,800.15/4,340.46
  6. Step 6: Final answer
    x = 2,349.70

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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.