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Finding the Fourth Proportional to 3,646.65, 5,470.31 and 1,566.19

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Solution

The fourth proportional to 3,646.65, 5,470.31 and 1,566.19 is: 2,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.65 : 5,470.31 = 1,566.19 : x
  2. Step 2: Convert to fraction form
    3,646.65/5,470.31 = 1,566.19/x
  3. Step 3: Cross multiply
    3,646.65x = 5,470.31 × 1,566.19
  4. Step 4: Simplify right side
    3,646.65x = 8,567,544.82
  5. Step 5: Solve for x
    x = 8,567,544.82/3,646.65
  6. Step 6: Final answer
    x = 2,349.43

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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.