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Finding the Fourth Proportional to 5,048.19, 7,572.53 and 1,928.46

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Solution

The fourth proportional to 5,048.19, 7,572.53 and 1,928.46 is: 2,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.19 : 7,572.53 = 1,928.46 : x
  2. Step 2: Convert to fraction form
    5,048.19/7,572.53 = 1,928.46/x
  3. Step 3: Cross multiply
    5,048.19x = 7,572.53 × 1,928.46
  4. Step 4: Simplify right side
    5,048.19x = 14,603,340.22
  5. Step 5: Solve for x
    x = 14,603,340.22/5,048.19
  6. Step 6: Final answer
    x = 2,892.79

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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.