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Finding the Fourth Proportional to 3,237.64, 4,857.38 and 1,594.68

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Solution

The fourth proportional to 3,237.64, 4,857.38 and 1,594.68 is: 2,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.64 : 4,857.38 = 1,594.68 : x
  2. Step 2: Convert to fraction form
    3,237.64/4,857.38 = 1,594.68/x
  3. Step 3: Cross multiply
    3,237.64x = 4,857.38 × 1,594.68
  4. Step 4: Simplify right side
    3,237.64x = 7,745,966.74
  5. Step 5: Solve for x
    x = 7,745,966.74/3,237.64
  6. Step 6: Final answer
    x = 2,392.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.