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Finding the Fourth Proportional to 5,498.57, 7,588.03 and 2,980.68

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Solution

The fourth proportional to 5,498.57, 7,588.03 and 2,980.68 is: 4,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.57 : 7,588.03 = 2,980.68 : x
  2. Step 2: Convert to fraction form
    5,498.57/7,588.03 = 2,980.68/x
  3. Step 3: Cross multiply
    5,498.57x = 7,588.03 × 2,980.68
  4. Step 4: Simplify right side
    5,498.57x = 22,617,481.81
  5. Step 5: Solve for x
    x = 22,617,481.81/5,498.57
  6. Step 6: Final answer
    x = 4,113.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.