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Finding the Fourth Proportional to 5,203.80, 7,794.66 and 4,832.01

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Solution

The fourth proportional to 5,203.80, 7,794.66 and 4,832.01 is: 7,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.80 : 7,794.66 = 4,832.01 : x
  2. Step 2: Convert to fraction form
    5,203.80/7,794.66 = 4,832.01/x
  3. Step 3: Cross multiply
    5,203.80x = 7,794.66 × 4,832.01
  4. Step 4: Simplify right side
    5,203.80x = 37,663,875.07
  5. Step 5: Solve for x
    x = 37,663,875.07/5,203.80
  6. Step 6: Final answer
    x = 7,237.76

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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.