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Finding the Fourth Proportional to 3,064.16, 4,596.30 and 872.96

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Solution

The fourth proportional to 3,064.16, 4,596.30 and 872.96 is: 1,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.16 : 4,596.30 = 872.96 : x
  2. Step 2: Convert to fraction form
    3,064.16/4,596.30 = 872.96/x
  3. Step 3: Cross multiply
    3,064.16x = 4,596.30 × 872.96
  4. Step 4: Simplify right side
    3,064.16x = 4,012,386.05
  5. Step 5: Solve for x
    x = 4,012,386.05/3,064.16
  6. Step 6: Final answer
    x = 1,309.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.