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Finding the Fourth Proportional to 3,064.16, 4,596.48 and 872.90

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Solution

The fourth proportional to 3,064.16, 4,596.48 and 872.90 is: 1,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.16 : 4,596.48 = 872.90 : x
  2. Step 2: Convert to fraction form
    3,064.16/4,596.48 = 872.90/x
  3. Step 3: Cross multiply
    3,064.16x = 4,596.48 × 872.90
  4. Step 4: Simplify right side
    3,064.16x = 4,012,267.39
  5. Step 5: Solve for x
    x = 4,012,267.39/3,064.16
  6. Step 6: Final answer
    x = 1,309.42

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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.