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Finding the Fourth Proportional to 4,701.60, 6,494.40 and 3,919.68

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Solution

The fourth proportional to 4,701.60, 6,494.40 and 3,919.68 is: 5,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.60 : 6,494.40 = 3,919.68 : x
  2. Step 2: Convert to fraction form
    4,701.60/6,494.40 = 3,919.68/x
  3. Step 3: Cross multiply
    4,701.60x = 6,494.40 × 3,919.68
  4. Step 4: Simplify right side
    4,701.60x = 25,455,969.79
  5. Step 5: Solve for x
    x = 25,455,969.79/4,701.60
  6. Step 6: Final answer
    x = 5,414.32

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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.