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Finding the Fourth Proportional to 3,064.24, 4,595.75 and 872.38

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Solution

The fourth proportional to 3,064.24, 4,595.75 and 872.38 is: 1,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.24 : 4,595.75 = 872.38 : x
  2. Step 2: Convert to fraction form
    3,064.24/4,595.75 = 872.38/x
  3. Step 3: Cross multiply
    3,064.24x = 4,595.75 × 872.38
  4. Step 4: Simplify right side
    3,064.24x = 4,009,240.39
  5. Step 5: Solve for x
    x = 4,009,240.39/3,064.24
  6. Step 6: Final answer
    x = 1,308.40

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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.