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Finding the Fourth Proportional to 5,265.61, 7,266.54 and 3,027.93

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Solution

The fourth proportional to 5,265.61, 7,266.54 and 3,027.93 is: 4,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.61 : 7,266.54 = 3,027.93 : x
  2. Step 2: Convert to fraction form
    5,265.61/7,266.54 = 3,027.93/x
  3. Step 3: Cross multiply
    5,265.61x = 7,266.54 × 3,027.93
  4. Step 4: Simplify right side
    5,265.61x = 22,002,574.46
  5. Step 5: Solve for x
    x = 22,002,574.46/5,265.61
  6. Step 6: Final answer
    x = 4,178.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.