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Finding the Fourth Proportional to 5,880.56, 8,819.16 and 2,417

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Solution

The fourth proportional to 5,880.56, 8,819.16 and 2,417 is: 3,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.56 : 8,819.16 = 2,417 : x
  2. Step 2: Convert to fraction form
    5,880.56/8,819.16 = 2,417/x
  3. Step 3: Cross multiply
    5,880.56x = 8,819.16 × 2,417
  4. Step 4: Simplify right side
    5,880.56x = 21,315,909.72
  5. Step 5: Solve for x
    x = 21,315,909.72/5,880.56
  6. Step 6: Final answer
    x = 3,624.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.