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Finding the Fourth Proportional to 5,115.98, 7,666.55 and 2,774.00

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Solution

The fourth proportional to 5,115.98, 7,666.55 and 2,774.00 is: 4,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.98 : 7,666.55 = 2,774.00 : x
  2. Step 2: Convert to fraction form
    5,115.98/7,666.55 = 2,774.00/x
  3. Step 3: Cross multiply
    5,115.98x = 7,666.55 × 2,774.00
  4. Step 4: Simplify right side
    5,115.98x = 21,267,025.40
  5. Step 5: Solve for x
    x = 21,267,025.40/5,115.98
  6. Step 6: Final answer
    x = 4,156.98

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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.