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Finding the Fourth Proportional to 3,323, 4,586.82 and 1,925.48

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Solution

The fourth proportional to 3,323, 4,586.82 and 1,925.48 is: 2,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323 : 4,586.82 = 1,925.48 : x
  2. Step 2: Convert to fraction form
    3,323/4,586.82 = 1,925.48/x
  3. Step 3: Cross multiply
    3,323x = 4,586.82 × 1,925.48
  4. Step 4: Simplify right side
    3,323x = 8,831,830.17
  5. Step 5: Solve for x
    x = 8,831,830.17/3,323
  6. Step 6: Final answer
    x = 2,657.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.