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Finding the Fourth Proportional to 4,515.64, 6,774 and 1,593.34

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Solution

The fourth proportional to 4,515.64, 6,774 and 1,593.34 is: 2,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,515.64 : 6,774 = 1,593.34 : x
  2. Step 2: Convert to fraction form
    4,515.64/6,774 = 1,593.34/x
  3. Step 3: Cross multiply
    4,515.64x = 6,774 × 1,593.34
  4. Step 4: Simplify right side
    4,515.64x = 10,793,285.16
  5. Step 5: Solve for x
    x = 10,793,285.16/4,515.64
  6. Step 6: Final answer
    x = 2,390.20

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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.