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Finding the Fourth Proportional to 6,089.04, 9,137.58 and 2,802

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Solution

The fourth proportional to 6,089.04, 9,137.58 and 2,802 is: 4,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.04 : 9,137.58 = 2,802 : x
  2. Step 2: Convert to fraction form
    6,089.04/9,137.58 = 2,802/x
  3. Step 3: Cross multiply
    6,089.04x = 9,137.58 × 2,802
  4. Step 4: Simplify right side
    6,089.04x = 25,603,499.16
  5. Step 5: Solve for x
    x = 25,603,499.16/6,089.04
  6. Step 6: Final answer
    x = 4,204.85

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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.