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Finding the Fourth Proportional to 5,274.13, 7,910.52 and 1,378.84

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Solution

The fourth proportional to 5,274.13, 7,910.52 and 1,378.84 is: 2,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.13 : 7,910.52 = 1,378.84 : x
  2. Step 2: Convert to fraction form
    5,274.13/7,910.52 = 1,378.84/x
  3. Step 3: Cross multiply
    5,274.13x = 7,910.52 × 1,378.84
  4. Step 4: Simplify right side
    5,274.13x = 10,907,341.40
  5. Step 5: Solve for x
    x = 10,907,341.40/5,274.13
  6. Step 6: Final answer
    x = 2,068.08

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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.