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Finding the Fourth Proportional to 3,064.21, 4,595.69 and 873.16

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Solution

The fourth proportional to 3,064.21, 4,595.69 and 873.16 is: 1,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.21 : 4,595.69 = 873.16 : x
  2. Step 2: Convert to fraction form
    3,064.21/4,595.69 = 873.16/x
  3. Step 3: Cross multiply
    3,064.21x = 4,595.69 × 873.16
  4. Step 4: Simplify right side
    3,064.21x = 4,012,763.37
  5. Step 5: Solve for x
    x = 4,012,763.37/3,064.21
  6. Step 6: Final answer
    x = 1,309.56

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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.