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Finding the Fourth Proportional to 4,594.66, 6,887.13 and 2,255.38

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Solution

The fourth proportional to 4,594.66, 6,887.13 and 2,255.38 is: 3,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.66 : 6,887.13 = 2,255.38 : x
  2. Step 2: Convert to fraction form
    4,594.66/6,887.13 = 2,255.38/x
  3. Step 3: Cross multiply
    4,594.66x = 6,887.13 × 2,255.38
  4. Step 4: Simplify right side
    4,594.66x = 15,533,095.26
  5. Step 5: Solve for x
    x = 15,533,095.26/4,594.66
  6. Step 6: Final answer
    x = 3,380.68

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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.