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Finding the Fourth Proportional to 5,837.68, 8,756.52 and 1,942.08

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Solution

The fourth proportional to 5,837.68, 8,756.52 and 1,942.08 is: 2,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.68 : 8,756.52 = 1,942.08 : x
  2. Step 2: Convert to fraction form
    5,837.68/8,756.52 = 1,942.08/x
  3. Step 3: Cross multiply
    5,837.68x = 8,756.52 × 1,942.08
  4. Step 4: Simplify right side
    5,837.68x = 17,005,862.36
  5. Step 5: Solve for x
    x = 17,005,862.36/5,837.68
  6. Step 6: Final answer
    x = 2,913.12

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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.