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Finding the Fourth Proportional to 3,857.76, 5,320.08 and 2,532.60

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Solution

The fourth proportional to 3,857.76, 5,320.08 and 2,532.60 is: 3,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.76 : 5,320.08 = 2,532.60 : x
  2. Step 2: Convert to fraction form
    3,857.76/5,320.08 = 2,532.60/x
  3. Step 3: Cross multiply
    3,857.76x = 5,320.08 × 2,532.60
  4. Step 4: Simplify right side
    3,857.76x = 13,473,634.61
  5. Step 5: Solve for x
    x = 13,473,634.61/3,857.76
  6. Step 6: Final answer
    x = 3,492.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.