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Finding the Fourth Proportional to 4,675.48, 7,014.66 and 2,731.48

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Solution

The fourth proportional to 4,675.48, 7,014.66 and 2,731.48 is: 4,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.48 : 7,014.66 = 2,731.48 : x
  2. Step 2: Convert to fraction form
    4,675.48/7,014.66 = 2,731.48/x
  3. Step 3: Cross multiply
    4,675.48x = 7,014.66 × 2,731.48
  4. Step 4: Simplify right side
    4,675.48x = 19,160,403.50
  5. Step 5: Solve for x
    x = 19,160,403.50/4,675.48
  6. Step 6: Final answer
    x = 4,098.06

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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.