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Finding the Fourth Proportional to 4,922.76, 6,798.24 and 4,210.48

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Solution

The fourth proportional to 4,922.76, 6,798.24 and 4,210.48 is: 5,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.76 : 6,798.24 = 4,210.48 : x
  2. Step 2: Convert to fraction form
    4,922.76/6,798.24 = 4,210.48/x
  3. Step 3: Cross multiply
    4,922.76x = 6,798.24 × 4,210.48
  4. Step 4: Simplify right side
    4,922.76x = 28,623,853.56
  5. Step 5: Solve for x
    x = 28,623,853.56/4,922.76
  6. Step 6: Final answer
    x = 5,814.59

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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.