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Finding the Fourth Proportional to 4,324.48, 6,480.56 and 3,346

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Solution

The fourth proportional to 4,324.48, 6,480.56 and 3,346 is: 5,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.48 : 6,480.56 = 3,346 : x
  2. Step 2: Convert to fraction form
    4,324.48/6,480.56 = 3,346/x
  3. Step 3: Cross multiply
    4,324.48x = 6,480.56 × 3,346
  4. Step 4: Simplify right side
    4,324.48x = 21,683,953.76
  5. Step 5: Solve for x
    x = 21,683,953.76/4,324.48
  6. Step 6: Final answer
    x = 5,014.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.