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Finding the Fourth Proportional to 4,634.40, 6,957.78 and 2,688

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Solution

The fourth proportional to 4,634.40, 6,957.78 and 2,688 is: 4,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.40 : 6,957.78 = 2,688 : x
  2. Step 2: Convert to fraction form
    4,634.40/6,957.78 = 2,688/x
  3. Step 3: Cross multiply
    4,634.40x = 6,957.78 × 2,688
  4. Step 4: Simplify right side
    4,634.40x = 18,702,512.64
  5. Step 5: Solve for x
    x = 18,702,512.64/4,634.40
  6. Step 6: Final answer
    x = 4,035.58

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