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Finding the Fourth Proportional to 5,186.16, 7,780.04 and 1,898.52

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Solution

The fourth proportional to 5,186.16, 7,780.04 and 1,898.52 is: 2,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.16 : 7,780.04 = 1,898.52 : x
  2. Step 2: Convert to fraction form
    5,186.16/7,780.04 = 1,898.52/x
  3. Step 3: Cross multiply
    5,186.16x = 7,780.04 × 1,898.52
  4. Step 4: Simplify right side
    5,186.16x = 14,770,561.54
  5. Step 5: Solve for x
    x = 14,770,561.54/5,186.16
  6. Step 6: Final answer
    x = 2,848.07

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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.