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Finding the Fourth Proportional to 5,684.58, 7,842.69 and 3,200.58

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Solution

The fourth proportional to 5,684.58, 7,842.69 and 3,200.58 is: 4,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.58 : 7,842.69 = 3,200.58 : x
  2. Step 2: Convert to fraction form
    5,684.58/7,842.69 = 3,200.58/x
  3. Step 3: Cross multiply
    5,684.58x = 7,842.69 × 3,200.58
  4. Step 4: Simplify right side
    5,684.58x = 25,101,156.76
  5. Step 5: Solve for x
    x = 25,101,156.76/5,684.58
  6. Step 6: Final answer
    x = 4,415.66

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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.