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Finding the Fourth Proportional to 5,324.40, 7,985.70 and 1,428.48

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Solution

The fourth proportional to 5,324.40, 7,985.70 and 1,428.48 is: 2,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.40 : 7,985.70 = 1,428.48 : x
  2. Step 2: Convert to fraction form
    5,324.40/7,985.70 = 1,428.48/x
  3. Step 3: Cross multiply
    5,324.40x = 7,985.70 × 1,428.48
  4. Step 4: Simplify right side
    5,324.40x = 11,407,412.74
  5. Step 5: Solve for x
    x = 11,407,412.74/5,324.40
  6. Step 6: Final answer
    x = 2,142.48

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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.