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Finding the Fourth Proportional to 5,185.08, 7,780.08 and 1,897.32

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Solution

The fourth proportional to 5,185.08, 7,780.08 and 1,897.32 is: 2,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.08 : 7,780.08 = 1,897.32 : x
  2. Step 2: Convert to fraction form
    5,185.08/7,780.08 = 1,897.32/x
  3. Step 3: Cross multiply
    5,185.08x = 7,780.08 × 1,897.32
  4. Step 4: Simplify right side
    5,185.08x = 14,761,301.39
  5. Step 5: Solve for x
    x = 14,761,301.39/5,185.08
  6. Step 6: Final answer
    x = 2,846.88

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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.