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Finding the Fourth Proportional to 5,101.84, 7,651.74 and 1,403.11

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Solution

The fourth proportional to 5,101.84, 7,651.74 and 1,403.11 is: 2,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.84 : 7,651.74 = 1,403.11 : x
  2. Step 2: Convert to fraction form
    5,101.84/7,651.74 = 1,403.11/x
  3. Step 3: Cross multiply
    5,101.84x = 7,651.74 × 1,403.11
  4. Step 4: Simplify right side
    5,101.84x = 10,736,232.91
  5. Step 5: Solve for x
    x = 10,736,232.91/5,101.84
  6. Step 6: Final answer
    x = 2,104.38

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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.