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Finding the Fourth Proportional to 3,758.07, 5,185.68 and 2,164.76

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Solution

The fourth proportional to 3,758.07, 5,185.68 and 2,164.76 is: 2,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.07 : 5,185.68 = 2,164.76 : x
  2. Step 2: Convert to fraction form
    3,758.07/5,185.68 = 2,164.76/x
  3. Step 3: Cross multiply
    3,758.07x = 5,185.68 × 2,164.76
  4. Step 4: Simplify right side
    3,758.07x = 11,225,726.71
  5. Step 5: Solve for x
    x = 11,225,726.71/3,758.07
  6. Step 6: Final answer
    x = 2,987.10

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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.