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Finding the Fourth Proportional to 4,193.64, 5,787.21 and 2,330.64

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Solution

The fourth proportional to 4,193.64, 5,787.21 and 2,330.64 is: 3,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.64 : 5,787.21 = 2,330.64 : x
  2. Step 2: Convert to fraction form
    4,193.64/5,787.21 = 2,330.64/x
  3. Step 3: Cross multiply
    4,193.64x = 5,787.21 × 2,330.64
  4. Step 4: Simplify right side
    4,193.64x = 13,487,903.11
  5. Step 5: Solve for x
    x = 13,487,903.11/4,193.64
  6. Step 6: Final answer
    x = 3,216.28

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1.5x scale

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.