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Finding the Fourth Proportional to 3,661.60, 5,492.54 and 1,440.36

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Solution

The fourth proportional to 3,661.60, 5,492.54 and 1,440.36 is: 2,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.60 : 5,492.54 = 1,440.36 : x
  2. Step 2: Convert to fraction form
    3,661.60/5,492.54 = 1,440.36/x
  3. Step 3: Cross multiply
    3,661.60x = 5,492.54 × 1,440.36
  4. Step 4: Simplify right side
    3,661.60x = 7,911,234.91
  5. Step 5: Solve for x
    x = 7,911,234.91/3,661.60
  6. Step 6: Final answer
    x = 2,160.60

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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.