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Finding the Fourth Proportional to 5,601.51, 8,390.94 and 2,824.32

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Solution

The fourth proportional to 5,601.51, 8,390.94 and 2,824.32 is: 4,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.51 : 8,390.94 = 2,824.32 : x
  2. Step 2: Convert to fraction form
    5,601.51/8,390.94 = 2,824.32/x
  3. Step 3: Cross multiply
    5,601.51x = 8,390.94 × 2,824.32
  4. Step 4: Simplify right side
    5,601.51x = 23,698,699.66
  5. Step 5: Solve for x
    x = 23,698,699.66/5,601.51
  6. Step 6: Final answer
    x = 4,230.77

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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.