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Finding the Fourth Proportional to 4,869.54, 7,293.35 and 3,415.19

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Solution

The fourth proportional to 4,869.54, 7,293.35 and 3,415.19 is: 5,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.54 : 7,293.35 = 3,415.19 : x
  2. Step 2: Convert to fraction form
    4,869.54/7,293.35 = 3,415.19/x
  3. Step 3: Cross multiply
    4,869.54x = 7,293.35 × 3,415.19
  4. Step 4: Simplify right side
    4,869.54x = 24,908,122.44
  5. Step 5: Solve for x
    x = 24,908,122.44/4,869.54
  6. Step 6: Final answer
    x = 5,115.09

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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.