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Finding the Fourth Proportional to 4,975.76, 6,867.98 and 3,319.76

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Solution

The fourth proportional to 4,975.76, 6,867.98 and 3,319.76 is: 4,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.76 : 6,867.98 = 3,319.76 : x
  2. Step 2: Convert to fraction form
    4,975.76/6,867.98 = 3,319.76/x
  3. Step 3: Cross multiply
    4,975.76x = 6,867.98 × 3,319.76
  4. Step 4: Simplify right side
    4,975.76x = 22,800,045.28
  5. Step 5: Solve for x
    x = 22,800,045.28/4,975.76
  6. Step 6: Final answer
    x = 4,582.22

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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.