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Finding the Fourth Proportional to 5,316.48, 7,297.74 and 4,713.84

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Solution

The fourth proportional to 5,316.48, 7,297.74 and 4,713.84 is: 6,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.48 : 7,297.74 = 4,713.84 : x
  2. Step 2: Convert to fraction form
    5,316.48/7,297.74 = 4,713.84/x
  3. Step 3: Cross multiply
    5,316.48x = 7,297.74 × 4,713.84
  4. Step 4: Simplify right side
    5,316.48x = 34,400,378.72
  5. Step 5: Solve for x
    x = 34,400,378.72/5,316.48
  6. Step 6: Final answer
    x = 6,470.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.