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Finding the Fourth Proportional to 3,411.30, 5,113.19 and 3,134.51

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Solution

The fourth proportional to 3,411.30, 5,113.19 and 3,134.51 is: 4,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.30 : 5,113.19 = 3,134.51 : x
  2. Step 2: Convert to fraction form
    3,411.30/5,113.19 = 3,134.51/x
  3. Step 3: Cross multiply
    3,411.30x = 5,113.19 × 3,134.51
  4. Step 4: Simplify right side
    3,411.30x = 16,027,345.19
  5. Step 5: Solve for x
    x = 16,027,345.19/3,411.30
  6. Step 6: Final answer
    x = 4,698.31

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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.