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Finding the Fourth Proportional to 4,588.30, 6,881.54 and 2,247.30

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Solution

The fourth proportional to 4,588.30, 6,881.54 and 2,247.30 is: 3,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.30 : 6,881.54 = 2,247.30 : x
  2. Step 2: Convert to fraction form
    4,588.30/6,881.54 = 2,247.30/x
  3. Step 3: Cross multiply
    4,588.30x = 6,881.54 × 2,247.30
  4. Step 4: Simplify right side
    4,588.30x = 15,464,886.25
  5. Step 5: Solve for x
    x = 15,464,886.25/4,588.30
  6. Step 6: Final answer
    x = 3,370.50

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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.