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Finding the Fourth Proportional to 5,285, 7,925.52 and 4,242.44

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Solution

The fourth proportional to 5,285, 7,925.52 and 4,242.44 is: 6,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285 : 7,925.52 = 4,242.44 : x
  2. Step 2: Convert to fraction form
    5,285/7,925.52 = 4,242.44/x
  3. Step 3: Cross multiply
    5,285x = 7,925.52 × 4,242.44
  4. Step 4: Simplify right side
    5,285x = 33,623,543.07
  5. Step 5: Solve for x
    x = 33,623,543.07/5,285
  6. Step 6: Final answer
    x = 6,362.07

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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.