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Finding the Fourth Proportional to 4,703.40, 6,487.20 and 3,023.64

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Solution

The fourth proportional to 4,703.40, 6,487.20 and 3,023.64 is: 4,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.40 : 6,487.20 = 3,023.64 : x
  2. Step 2: Convert to fraction form
    4,703.40/6,487.20 = 3,023.64/x
  3. Step 3: Cross multiply
    4,703.40x = 6,487.20 × 3,023.64
  4. Step 4: Simplify right side
    4,703.40x = 19,614,957.41
  5. Step 5: Solve for x
    x = 19,614,957.41/4,703.40
  6. Step 6: Final answer
    x = 4,170.38

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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.