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Finding the Fourth Proportional to 4,752.69, 6,560.10 and 2,764.14

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Solution

The fourth proportional to 4,752.69, 6,560.10 and 2,764.14 is: 3,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.69 : 6,560.10 = 2,764.14 : x
  2. Step 2: Convert to fraction form
    4,752.69/6,560.10 = 2,764.14/x
  3. Step 3: Cross multiply
    4,752.69x = 6,560.10 × 2,764.14
  4. Step 4: Simplify right side
    4,752.69x = 18,133,034.81
  5. Step 5: Solve for x
    x = 18,133,034.81/4,752.69
  6. Step 6: Final answer
    x = 3,815.32

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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.