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Finding the Fourth Proportional to 3,887.87, 5,830.05 and 1,113.91

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Solution

The fourth proportional to 3,887.87, 5,830.05 and 1,113.91 is: 1,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.87 : 5,830.05 = 1,113.91 : x
  2. Step 2: Convert to fraction form
    3,887.87/5,830.05 = 1,113.91/x
  3. Step 3: Cross multiply
    3,887.87x = 5,830.05 × 1,113.91
  4. Step 4: Simplify right side
    3,887.87x = 6,494,123.40
  5. Step 5: Solve for x
    x = 6,494,123.40/3,887.87
  6. Step 6: Final answer
    x = 1,670.36

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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.