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Finding the Fourth Proportional to 5,675.88, 8,501.46 and 2,748

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Solution

The fourth proportional to 5,675.88, 8,501.46 and 2,748 is: 4,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.88 : 8,501.46 = 2,748 : x
  2. Step 2: Convert to fraction form
    5,675.88/8,501.46 = 2,748/x
  3. Step 3: Cross multiply
    5,675.88x = 8,501.46 × 2,748
  4. Step 4: Simplify right side
    5,675.88x = 23,362,012.08
  5. Step 5: Solve for x
    x = 23,362,012.08/5,675.88
  6. Step 6: Final answer
    x = 4,116.02

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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.