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Finding the Fourth Proportional to 4,752.12, 6,558.06 and 2,656.20

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Solution

The fourth proportional to 4,752.12, 6,558.06 and 2,656.20 is: 3,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.12 : 6,558.06 = 2,656.20 : x
  2. Step 2: Convert to fraction form
    4,752.12/6,558.06 = 2,656.20/x
  3. Step 3: Cross multiply
    4,752.12x = 6,558.06 × 2,656.20
  4. Step 4: Simplify right side
    4,752.12x = 17,419,518.97
  5. Step 5: Solve for x
    x = 17,419,518.97/4,752.12
  6. Step 6: Final answer
    x = 3,665.63

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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.