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Finding the Fourth Proportional to 3,480.96, 4,804.49 and 2,405.74

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Solution

The fourth proportional to 3,480.96, 4,804.49 and 2,405.74 is: 3,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.96 : 4,804.49 = 2,405.74 : x
  2. Step 2: Convert to fraction form
    3,480.96/4,804.49 = 2,405.74/x
  3. Step 3: Cross multiply
    3,480.96x = 4,804.49 × 2,405.74
  4. Step 4: Simplify right side
    3,480.96x = 11,558,353.77
  5. Step 5: Solve for x
    x = 11,558,353.77/3,480.96
  6. Step 6: Final answer
    x = 3,320.45

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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.