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Finding the Fourth Proportional to 4,774.98, 7,166.52 and 2,585.55

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Solution

The fourth proportional to 4,774.98, 7,166.52 and 2,585.55 is: 3,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.98 : 7,166.52 = 2,585.55 : x
  2. Step 2: Convert to fraction form
    4,774.98/7,166.52 = 2,585.55/x
  3. Step 3: Cross multiply
    4,774.98x = 7,166.52 × 2,585.55
  4. Step 4: Simplify right side
    4,774.98x = 18,529,395.79
  5. Step 5: Solve for x
    x = 18,529,395.79/4,774.98
  6. Step 6: Final answer
    x = 3,880.52

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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.