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Finding the Fourth Proportional to 4,758.50, 6,566.74 and 2,663.12

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Solution

The fourth proportional to 4,758.50, 6,566.74 and 2,663.12 is: 3,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.50 : 6,566.74 = 2,663.12 : x
  2. Step 2: Convert to fraction form
    4,758.50/6,566.74 = 2,663.12/x
  3. Step 3: Cross multiply
    4,758.50x = 6,566.74 × 2,663.12
  4. Step 4: Simplify right side
    4,758.50x = 17,488,016.63
  5. Step 5: Solve for x
    x = 17,488,016.63/4,758.50
  6. Step 6: Final answer
    x = 3,675.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.