Home / 3,209.60-4,815.32-1,566.16

Finding the Fourth Proportional to 3,209.60, 4,815.32 and 1,566.16

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Solution

The fourth proportional to 3,209.60, 4,815.32 and 1,566.16 is: 2,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.60 : 4,815.32 = 1,566.16 : x
  2. Step 2: Convert to fraction form
    3,209.60/4,815.32 = 1,566.16/x
  3. Step 3: Cross multiply
    3,209.60x = 4,815.32 × 1,566.16
  4. Step 4: Simplify right side
    3,209.60x = 7,541,561.57
  5. Step 5: Solve for x
    x = 7,541,561.57/3,209.60
  6. Step 6: Final answer
    x = 2,349.69

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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.