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Finding the Fourth Proportional to 5,323.71, 7,980.93 and 2,201.77

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Solution

The fourth proportional to 5,323.71, 7,980.93 and 2,201.77 is: 3,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.71 : 7,980.93 = 2,201.77 : x
  2. Step 2: Convert to fraction form
    5,323.71/7,980.93 = 2,201.77/x
  3. Step 3: Cross multiply
    5,323.71x = 7,980.93 × 2,201.77
  4. Step 4: Simplify right side
    5,323.71x = 17,572,161.24
  5. Step 5: Solve for x
    x = 17,572,161.24/5,323.71
  6. Step 6: Final answer
    x = 3,300.74

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1.5x scale

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.