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Finding the Fourth Proportional to 3,064.41, 4,595.24 and 872.64

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Solution

The fourth proportional to 3,064.41, 4,595.24 and 872.64 is: 1,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.41 : 4,595.24 = 872.64 : x
  2. Step 2: Convert to fraction form
    3,064.41/4,595.24 = 872.64/x
  3. Step 3: Cross multiply
    3,064.41x = 4,595.24 × 872.64
  4. Step 4: Simplify right side
    3,064.41x = 4,009,985.87
  5. Step 5: Solve for x
    x = 4,009,985.87/3,064.41
  6. Step 6: Final answer
    x = 1,308.57

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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.