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Finding the Fourth Proportional to 4,304.34, 6,458.67 and 4,291.20

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Solution

The fourth proportional to 4,304.34, 6,458.67 and 4,291.20 is: 6,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.34 : 6,458.67 = 4,291.20 : x
  2. Step 2: Convert to fraction form
    4,304.34/6,458.67 = 4,291.20/x
  3. Step 3: Cross multiply
    4,304.34x = 6,458.67 × 4,291.20
  4. Step 4: Simplify right side
    4,304.34x = 27,715,444.70
  5. Step 5: Solve for x
    x = 27,715,444.70/4,304.34
  6. Step 6: Final answer
    x = 6,438.95

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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.