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Finding the Fourth Proportional to 5,990.72, 8,970.35 and 4,814.47

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Solution

The fourth proportional to 5,990.72, 8,970.35 and 4,814.47 is: 7,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.72 : 8,970.35 = 4,814.47 : x
  2. Step 2: Convert to fraction form
    5,990.72/8,970.35 = 4,814.47/x
  3. Step 3: Cross multiply
    5,990.72x = 8,970.35 × 4,814.47
  4. Step 4: Simplify right side
    5,990.72x = 43,187,436.11
  5. Step 5: Solve for x
    x = 43,187,436.11/5,990.72
  6. Step 6: Final answer
    x = 7,209.06

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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.