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Finding the Fourth Proportional to 4,287.48, 6,424.10 and 4,125.40

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Solution

The fourth proportional to 4,287.48, 6,424.10 and 4,125.40 is: 6,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.48 : 6,424.10 = 4,125.40 : x
  2. Step 2: Convert to fraction form
    4,287.48/6,424.10 = 4,125.40/x
  3. Step 3: Cross multiply
    4,287.48x = 6,424.10 × 4,125.40
  4. Step 4: Simplify right side
    4,287.48x = 26,501,982.14
  5. Step 5: Solve for x
    x = 26,501,982.14/4,287.48
  6. Step 6: Final answer
    x = 6,181.25

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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.