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Finding the Fourth Proportional to 4,365.38, 6,547.92 and 1,900.20

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Solution

The fourth proportional to 4,365.38, 6,547.92 and 1,900.20 is: 2,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.38 : 6,547.92 = 1,900.20 : x
  2. Step 2: Convert to fraction form
    4,365.38/6,547.92 = 1,900.20/x
  3. Step 3: Cross multiply
    4,365.38x = 6,547.92 × 1,900.20
  4. Step 4: Simplify right side
    4,365.38x = 12,442,375.01
  5. Step 5: Solve for x
    x = 12,442,375.01/4,365.38
  6. Step 6: Final answer
    x = 2,850.24

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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.