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Finding the Fourth Proportional to 4,967.10, 7,432.87 and 4,302.30

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Solution

The fourth proportional to 4,967.10, 7,432.87 and 4,302.30 is: 6,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.10 : 7,432.87 = 4,302.30 : x
  2. Step 2: Convert to fraction form
    4,967.10/7,432.87 = 4,302.30/x
  3. Step 3: Cross multiply
    4,967.10x = 7,432.87 × 4,302.30
  4. Step 4: Simplify right side
    4,967.10x = 31,978,436.60
  5. Step 5: Solve for x
    x = 31,978,436.60/4,967.10
  6. Step 6: Final answer
    x = 6,438.05

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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.