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Finding the Fourth Proportional to 3,730.60, 5,598.60 and 2,085.40

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Solution

The fourth proportional to 3,730.60, 5,598.60 and 2,085.40 is: 3,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.60 : 5,598.60 = 2,085.40 : x
  2. Step 2: Convert to fraction form
    3,730.60/5,598.60 = 2,085.40/x
  3. Step 3: Cross multiply
    3,730.60x = 5,598.60 × 2,085.40
  4. Step 4: Simplify right side
    3,730.60x = 11,675,320.44
  5. Step 5: Solve for x
    x = 11,675,320.44/3,730.60
  6. Step 6: Final answer
    x = 3,129.61

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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.