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Finding the Fourth Proportional to 5,951.23, 8,216.70 and 5,319.74

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Solution

The fourth proportional to 5,951.23, 8,216.70 and 5,319.74 is: 7,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.23 : 8,216.70 = 5,319.74 : x
  2. Step 2: Convert to fraction form
    5,951.23/8,216.70 = 5,319.74/x
  3. Step 3: Cross multiply
    5,951.23x = 8,216.70 × 5,319.74
  4. Step 4: Simplify right side
    5,951.23x = 43,710,666.57
  5. Step 5: Solve for x
    x = 43,710,666.57/5,951.23
  6. Step 6: Final answer
    x = 7,344.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.