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Finding the Fourth Proportional to 5,185.18, 7,775.13 and 1,897.42

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Solution

The fourth proportional to 5,185.18, 7,775.13 and 1,897.42 is: 2,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.18 : 7,775.13 = 1,897.42 : x
  2. Step 2: Convert to fraction form
    5,185.18/7,775.13 = 1,897.42/x
  3. Step 3: Cross multiply
    5,185.18x = 7,775.13 × 1,897.42
  4. Step 4: Simplify right side
    5,185.18x = 14,752,687.16
  5. Step 5: Solve for x
    x = 14,752,687.16/5,185.18
  6. Step 6: Final answer
    x = 2,845.16

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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.