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Finding the Fourth Proportional to 3,735.76, 5,155.40 and 2,409.52

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Solution

The fourth proportional to 3,735.76, 5,155.40 and 2,409.52 is: 3,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.76 : 5,155.40 = 2,409.52 : x
  2. Step 2: Convert to fraction form
    3,735.76/5,155.40 = 2,409.52/x
  3. Step 3: Cross multiply
    3,735.76x = 5,155.40 × 2,409.52
  4. Step 4: Simplify right side
    3,735.76x = 12,422,039.41
  5. Step 5: Solve for x
    x = 12,422,039.41/3,735.76
  6. Step 6: Final answer
    x = 3,325.17

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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.