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Finding the Fourth Proportional to 5,780.08, 8,683.98 and 5,465.44

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Solution

The fourth proportional to 5,780.08, 8,683.98 and 5,465.44 is: 8,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.08 : 8,683.98 = 5,465.44 : x
  2. Step 2: Convert to fraction form
    5,780.08/8,683.98 = 5,465.44/x
  3. Step 3: Cross multiply
    5,780.08x = 8,683.98 × 5,465.44
  4. Step 4: Simplify right side
    5,780.08x = 47,461,771.65
  5. Step 5: Solve for x
    x = 47,461,771.65/5,780.08
  6. Step 6: Final answer
    x = 8,211.27

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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.