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Finding the Fourth Proportional to 3,566.47, 4,921.64 and 1,994.71

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Solution

The fourth proportional to 3,566.47, 4,921.64 and 1,994.71 is: 2,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.47 : 4,921.64 = 1,994.71 : x
  2. Step 2: Convert to fraction form
    3,566.47/4,921.64 = 1,994.71/x
  3. Step 3: Cross multiply
    3,566.47x = 4,921.64 × 1,994.71
  4. Step 4: Simplify right side
    3,566.47x = 9,817,234.55
  5. Step 5: Solve for x
    x = 9,817,234.55/3,566.47
  6. Step 6: Final answer
    x = 2,752.65

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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.