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Finding the Fourth Proportional to 5,302.54, 7,944 and 2,666.96

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Solution

The fourth proportional to 5,302.54, 7,944 and 2,666.96 is: 3,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.54 : 7,944 = 2,666.96 : x
  2. Step 2: Convert to fraction form
    5,302.54/7,944 = 2,666.96/x
  3. Step 3: Cross multiply
    5,302.54x = 7,944 × 2,666.96
  4. Step 4: Simplify right side
    5,302.54x = 21,186,330.24
  5. Step 5: Solve for x
    x = 21,186,330.24/5,302.54
  6. Step 6: Final answer
    x = 3,995.51

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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.