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Finding the Fourth Proportional to 5,053.58, 7,580 and 2,243.30

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Solution

The fourth proportional to 5,053.58, 7,580 and 2,243.30 is: 3,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.58 : 7,580 = 2,243.30 : x
  2. Step 2: Convert to fraction form
    5,053.58/7,580 = 2,243.30/x
  3. Step 3: Cross multiply
    5,053.58x = 7,580 × 2,243.30
  4. Step 4: Simplify right side
    5,053.58x = 17,004,214
  5. Step 5: Solve for x
    x = 17,004,214/5,053.58
  6. Step 6: Final answer
    x = 3,364.79

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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.