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Finding the Fourth Proportional to 4,298.16, 5,938.74 and 3,421.74

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Solution

The fourth proportional to 4,298.16, 5,938.74 and 3,421.74 is: 4,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.16 : 5,938.74 = 3,421.74 : x
  2. Step 2: Convert to fraction form
    4,298.16/5,938.74 = 3,421.74/x
  3. Step 3: Cross multiply
    4,298.16x = 5,938.74 × 3,421.74
  4. Step 4: Simplify right side
    4,298.16x = 20,320,824.21
  5. Step 5: Solve for x
    x = 20,320,824.21/4,298.16
  6. Step 6: Final answer
    x = 4,727.80

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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.