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Finding the Fourth Proportional to 4,801.92, 6,627.68 and 3,032.40

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Solution

The fourth proportional to 4,801.92, 6,627.68 and 3,032.40 is: 4,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.92 : 6,627.68 = 3,032.40 : x
  2. Step 2: Convert to fraction form
    4,801.92/6,627.68 = 3,032.40/x
  3. Step 3: Cross multiply
    4,801.92x = 6,627.68 × 3,032.40
  4. Step 4: Simplify right side
    4,801.92x = 20,097,776.83
  5. Step 5: Solve for x
    x = 20,097,776.83/4,801.92
  6. Step 6: Final answer
    x = 4,185.36

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