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Finding the Fourth Proportional to 5,351.60, 7,386.91 and 3,758.63

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Solution

The fourth proportional to 5,351.60, 7,386.91 and 3,758.63 is: 5,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.60 : 7,386.91 = 3,758.63 : x
  2. Step 2: Convert to fraction form
    5,351.60/7,386.91 = 3,758.63/x
  3. Step 3: Cross multiply
    5,351.60x = 7,386.91 × 3,758.63
  4. Step 4: Simplify right side
    5,351.60x = 27,764,615.20
  5. Step 5: Solve for x
    x = 27,764,615.20/5,351.60
  6. Step 6: Final answer
    x = 5,188.10

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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.