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Finding the Fourth Proportional to 5,185.92, 7,775.91 and 1,900.02

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Solution

The fourth proportional to 5,185.92, 7,775.91 and 1,900.02 is: 2,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.92 : 7,775.91 = 1,900.02 : x
  2. Step 2: Convert to fraction form
    5,185.92/7,775.91 = 1,900.02/x
  3. Step 3: Cross multiply
    5,185.92x = 7,775.91 × 1,900.02
  4. Step 4: Simplify right side
    5,185.92x = 14,774,384.52
  5. Step 5: Solve for x
    x = 14,774,384.52/5,185.92
  6. Step 6: Final answer
    x = 2,848.94

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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.