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Finding the Fourth Proportional to 4,594.60, 6,877.27 and 3,659.66

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Solution

The fourth proportional to 4,594.60, 6,877.27 and 3,659.66 is: 5,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.60 : 6,877.27 = 3,659.66 : x
  2. Step 2: Convert to fraction form
    4,594.60/6,877.27 = 3,659.66/x
  3. Step 3: Cross multiply
    4,594.60x = 6,877.27 × 3,659.66
  4. Step 4: Simplify right side
    4,594.60x = 25,168,465.91
  5. Step 5: Solve for x
    x = 25,168,465.91/4,594.60
  6. Step 6: Final answer
    x = 5,477.83

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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.