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Finding the Fourth Proportional to 4,648.96, 6,973.44 and 1,728

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Solution

The fourth proportional to 4,648.96, 6,973.44 and 1,728 is: 2,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.96 : 6,973.44 = 1,728 : x
  2. Step 2: Convert to fraction form
    4,648.96/6,973.44 = 1,728/x
  3. Step 3: Cross multiply
    4,648.96x = 6,973.44 × 1,728
  4. Step 4: Simplify right side
    4,648.96x = 12,050,104.32
  5. Step 5: Solve for x
    x = 12,050,104.32/4,648.96
  6. Step 6: Final answer
    x = 2,592.00

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Why These Related Problems?

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