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Finding the Fourth Proportional to 3,212.04, 4,820.22 and 1,569.72

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Solution

The fourth proportional to 3,212.04, 4,820.22 and 1,569.72 is: 2,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.04 : 4,820.22 = 1,569.72 : x
  2. Step 2: Convert to fraction form
    3,212.04/4,820.22 = 1,569.72/x
  3. Step 3: Cross multiply
    3,212.04x = 4,820.22 × 1,569.72
  4. Step 4: Simplify right side
    3,212.04x = 7,566,395.74
  5. Step 5: Solve for x
    x = 7,566,395.74/3,212.04
  6. Step 6: Final answer
    x = 2,355.64

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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.