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Finding the Fourth Proportional to 4,812.77, 6,641.65 and 2,924.20

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Solution

The fourth proportional to 4,812.77, 6,641.65 and 2,924.20 is: 4,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.77 : 6,641.65 = 2,924.20 : x
  2. Step 2: Convert to fraction form
    4,812.77/6,641.65 = 2,924.20/x
  3. Step 3: Cross multiply
    4,812.77x = 6,641.65 × 2,924.20
  4. Step 4: Simplify right side
    4,812.77x = 19,421,508.44
  5. Step 5: Solve for x
    x = 19,421,508.44/4,812.77
  6. Step 6: Final answer
    x = 4,035.41

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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.