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Finding the Fourth Proportional to 4,504.34, 6,757.55 and 1,582.66

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Solution

The fourth proportional to 4,504.34, 6,757.55 and 1,582.66 is: 2,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.34 : 6,757.55 = 1,582.66 : x
  2. Step 2: Convert to fraction form
    4,504.34/6,757.55 = 1,582.66/x
  3. Step 3: Cross multiply
    4,504.34x = 6,757.55 × 1,582.66
  4. Step 4: Simplify right side
    4,504.34x = 10,694,904.08
  5. Step 5: Solve for x
    x = 10,694,904.08/4,504.34
  6. Step 6: Final answer
    x = 2,374.36

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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.