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Finding the Fourth Proportional to 5,184.76, 7,777.18 and 1,897.96

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Solution

The fourth proportional to 5,184.76, 7,777.18 and 1,897.96 is: 2,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.76 : 7,777.18 = 1,897.96 : x
  2. Step 2: Convert to fraction form
    5,184.76/7,777.18 = 1,897.96/x
  3. Step 3: Cross multiply
    5,184.76x = 7,777.18 × 1,897.96
  4. Step 4: Simplify right side
    5,184.76x = 14,760,776.55
  5. Step 5: Solve for x
    x = 14,760,776.55/5,184.76
  6. Step 6: Final answer
    x = 2,846.95

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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.