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Finding the Fourth Proportional to 5,292.24, 7,937.28 and 1,828.32

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Solution

The fourth proportional to 5,292.24, 7,937.28 and 1,828.32 is: 2,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.24 : 7,937.28 = 1,828.32 : x
  2. Step 2: Convert to fraction form
    5,292.24/7,937.28 = 1,828.32/x
  3. Step 3: Cross multiply
    5,292.24x = 7,937.28 × 1,828.32
  4. Step 4: Simplify right side
    5,292.24x = 14,511,887.77
  5. Step 5: Solve for x
    x = 14,511,887.77/5,292.24
  6. Step 6: Final answer
    x = 2,742.11

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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.