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Finding the Fourth Proportional to 5,258.61, 7,256.37 and 3,241.71

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Solution

The fourth proportional to 5,258.61, 7,256.37 and 3,241.71 is: 4,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.61 : 7,256.37 = 3,241.71 : x
  2. Step 2: Convert to fraction form
    5,258.61/7,256.37 = 3,241.71/x
  3. Step 3: Cross multiply
    5,258.61x = 7,256.37 × 3,241.71
  4. Step 4: Simplify right side
    5,258.61x = 23,523,047.19
  5. Step 5: Solve for x
    x = 23,523,047.19/5,258.61
  6. Step 6: Final answer
    x = 4,473.24

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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.