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Finding the Fourth Proportional to 5,774.84, 8,656.07 and 3,000.83

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Solution

The fourth proportional to 5,774.84, 8,656.07 and 3,000.83 is: 4,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.84 : 8,656.07 = 3,000.83 : x
  2. Step 2: Convert to fraction form
    5,774.84/8,656.07 = 3,000.83/x
  3. Step 3: Cross multiply
    5,774.84x = 8,656.07 × 3,000.83
  4. Step 4: Simplify right side
    5,774.84x = 25,975,379.53
  5. Step 5: Solve for x
    x = 25,975,379.53/5,774.84
  6. Step 6: Final answer
    x = 4,498.03

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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.