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Finding the Fourth Proportional to 4,097.40, 6,148.12 and 1,903.51

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Solution

The fourth proportional to 4,097.40, 6,148.12 and 1,903.51 is: 2,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.40 : 6,148.12 = 1,903.51 : x
  2. Step 2: Convert to fraction form
    4,097.40/6,148.12 = 1,903.51/x
  3. Step 3: Cross multiply
    4,097.40x = 6,148.12 × 1,903.51
  4. Step 4: Simplify right side
    4,097.40x = 11,703,007.90
  5. Step 5: Solve for x
    x = 11,703,007.90/4,097.40
  6. Step 6: Final answer
    x = 2,856.20

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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.