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Finding the Fourth Proportional to 3,064.35, 4,596.49 and 873.10

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Solution

The fourth proportional to 3,064.35, 4,596.49 and 873.10 is: 1,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.35 : 4,596.49 = 873.10 : x
  2. Step 2: Convert to fraction form
    3,064.35/4,596.49 = 873.10/x
  3. Step 3: Cross multiply
    3,064.35x = 4,596.49 × 873.10
  4. Step 4: Simplify right side
    3,064.35x = 4,013,195.42
  5. Step 5: Solve for x
    x = 4,013,195.42/3,064.35
  6. Step 6: Final answer
    x = 1,309.64

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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.