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Finding the Fourth Proportional to 5,000.40, 6,897.96 and 3,406.32

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Solution

The fourth proportional to 5,000.40, 6,897.96 and 3,406.32 is: 4,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.40 : 6,897.96 = 3,406.32 : x
  2. Step 2: Convert to fraction form
    5,000.40/6,897.96 = 3,406.32/x
  3. Step 3: Cross multiply
    5,000.40x = 6,897.96 × 3,406.32
  4. Step 4: Simplify right side
    5,000.40x = 23,496,659.11
  5. Step 5: Solve for x
    x = 23,496,659.11/5,000.40
  6. Step 6: Final answer
    x = 4,698.96

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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.