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Finding the Fourth Proportional to 5,370.60, 8,048.70 and 2,289

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Solution

The fourth proportional to 5,370.60, 8,048.70 and 2,289 is: 3,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.60 : 8,048.70 = 2,289 : x
  2. Step 2: Convert to fraction form
    5,370.60/8,048.70 = 2,289/x
  3. Step 3: Cross multiply
    5,370.60x = 8,048.70 × 2,289
  4. Step 4: Simplify right side
    5,370.60x = 18,423,474.30
  5. Step 5: Solve for x
    x = 18,423,474.30/5,370.60
  6. Step 6: Final answer
    x = 3,430.43

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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.