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Finding the Fourth Proportional to 3,439.66, 4,746.72 and 1,867.75

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Solution

The fourth proportional to 3,439.66, 4,746.72 and 1,867.75 is: 2,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.66 : 4,746.72 = 1,867.75 : x
  2. Step 2: Convert to fraction form
    3,439.66/4,746.72 = 1,867.75/x
  3. Step 3: Cross multiply
    3,439.66x = 4,746.72 × 1,867.75
  4. Step 4: Simplify right side
    3,439.66x = 8,865,686.28
  5. Step 5: Solve for x
    x = 8,865,686.28/3,439.66
  6. Step 6: Final answer
    x = 2,577.49

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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.