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Finding the Fourth Proportional to 3,056.64, 4,584.90 and 865.49

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Solution

The fourth proportional to 3,056.64, 4,584.90 and 865.49 is: 1,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.64 : 4,584.90 = 865.49 : x
  2. Step 2: Convert to fraction form
    3,056.64/4,584.90 = 865.49/x
  3. Step 3: Cross multiply
    3,056.64x = 4,584.90 × 865.49
  4. Step 4: Simplify right side
    3,056.64x = 3,968,165.42
  5. Step 5: Solve for x
    x = 3,968,165.42/3,056.64
  6. Step 6: Final answer
    x = 1,298.21

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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.