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Finding the Fourth Proportional to 6,104.60, 9,154.16 and 2,594.46

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Solution

The fourth proportional to 6,104.60, 9,154.16 and 2,594.46 is: 3,890.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.60 : 9,154.16 = 2,594.46 : x
  2. Step 2: Convert to fraction form
    6,104.60/9,154.16 = 2,594.46/x
  3. Step 3: Cross multiply
    6,104.60x = 9,154.16 × 2,594.46
  4. Step 4: Simplify right side
    6,104.60x = 23,750,088.98
  5. Step 5: Solve for x
    x = 23,750,088.98/6,104.60
  6. Step 6: Final answer
    x = 3,890.53

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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.