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Finding the Fourth Proportional to 5,384.30, 8,064.03 and 4,672.58

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Solution

The fourth proportional to 5,384.30, 8,064.03 and 4,672.58 is: 6,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.30 : 8,064.03 = 4,672.58 : x
  2. Step 2: Convert to fraction form
    5,384.30/8,064.03 = 4,672.58/x
  3. Step 3: Cross multiply
    5,384.30x = 8,064.03 × 4,672.58
  4. Step 4: Simplify right side
    5,384.30x = 37,679,825.30
  5. Step 5: Solve for x
    x = 37,679,825.30/5,384.30
  6. Step 6: Final answer
    x = 6,998.09

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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.