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Finding the Fourth Proportional to 5,357.26, 8,036.70 and 1,894.24

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Solution

The fourth proportional to 5,357.26, 8,036.70 and 1,894.24 is: 2,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.26 : 8,036.70 = 1,894.24 : x
  2. Step 2: Convert to fraction form
    5,357.26/8,036.70 = 1,894.24/x
  3. Step 3: Cross multiply
    5,357.26x = 8,036.70 × 1,894.24
  4. Step 4: Simplify right side
    5,357.26x = 15,223,438.61
  5. Step 5: Solve for x
    x = 15,223,438.61/5,357.26
  6. Step 6: Final answer
    x = 2,841.65

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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.