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Finding the Fourth Proportional to 5,285.84, 7,293.89 and 4,023.77

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Solution

The fourth proportional to 5,285.84, 7,293.89 and 4,023.77 is: 5,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.84 : 7,293.89 = 4,023.77 : x
  2. Step 2: Convert to fraction form
    5,285.84/7,293.89 = 4,023.77/x
  3. Step 3: Cross multiply
    5,285.84x = 7,293.89 × 4,023.77
  4. Step 4: Simplify right side
    5,285.84x = 29,348,879.18
  5. Step 5: Solve for x
    x = 29,348,879.18/5,285.84
  6. Step 6: Final answer
    x = 5,552.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.