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Finding the Fourth Proportional to 5,901.66, 8,830.65 and 5,195.53

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Solution

The fourth proportional to 5,901.66, 8,830.65 and 5,195.53 is: 7,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.66 : 8,830.65 = 5,195.53 : x
  2. Step 2: Convert to fraction form
    5,901.66/8,830.65 = 5,195.53/x
  3. Step 3: Cross multiply
    5,901.66x = 8,830.65 × 5,195.53
  4. Step 4: Simplify right side
    5,901.66x = 45,879,906.99
  5. Step 5: Solve for x
    x = 45,879,906.99/5,901.66
  6. Step 6: Final answer
    x = 7,774.07

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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.