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Finding the Fourth Proportional to 4,526.10, 6,777 and 2,575.62

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Solution

The fourth proportional to 4,526.10, 6,777 and 2,575.62 is: 3,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526.10 : 6,777 = 2,575.62 : x
  2. Step 2: Convert to fraction form
    4,526.10/6,777 = 2,575.62/x
  3. Step 3: Cross multiply
    4,526.10x = 6,777 × 2,575.62
  4. Step 4: Simplify right side
    4,526.10x = 17,454,976.74
  5. Step 5: Solve for x
    x = 17,454,976.74/4,526.10
  6. Step 6: Final answer
    x = 3,856.52

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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.