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Finding the Fourth Proportional to 5,846.88, 8,064.96 and 3,487.68

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Solution

The fourth proportional to 5,846.88, 8,064.96 and 3,487.68 is: 4,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.88 : 8,064.96 = 3,487.68 : x
  2. Step 2: Convert to fraction form
    5,846.88/8,064.96 = 3,487.68/x
  3. Step 3: Cross multiply
    5,846.88x = 8,064.96 × 3,487.68
  4. Step 4: Simplify right side
    5,846.88x = 28,127,999.69
  5. Step 5: Solve for x
    x = 28,127,999.69/5,846.88
  6. Step 6: Final answer
    x = 4,810.77

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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.