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Finding the Fourth Proportional to 4,328.34, 6,499.80 and 4,294.32

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Solution

The fourth proportional to 4,328.34, 6,499.80 and 4,294.32 is: 6,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.34 : 6,499.80 = 4,294.32 : x
  2. Step 2: Convert to fraction form
    4,328.34/6,499.80 = 4,294.32/x
  3. Step 3: Cross multiply
    4,328.34x = 6,499.80 × 4,294.32
  4. Step 4: Simplify right side
    4,328.34x = 27,912,221.14
  5. Step 5: Solve for x
    x = 27,912,221.14/4,328.34
  6. Step 6: Final answer
    x = 6,448.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.