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Finding the Fourth Proportional to 3,419.32, 5,124.30 and 1,468.84

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Solution

The fourth proportional to 3,419.32, 5,124.30 and 1,468.84 is: 2,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.32 : 5,124.30 = 1,468.84 : x
  2. Step 2: Convert to fraction form
    3,419.32/5,124.30 = 1,468.84/x
  3. Step 3: Cross multiply
    3,419.32x = 5,124.30 × 1,468.84
  4. Step 4: Simplify right side
    3,419.32x = 7,526,776.81
  5. Step 5: Solve for x
    x = 7,526,776.81/3,419.32
  6. Step 6: Final answer
    x = 2,201.25

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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.