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Finding the Fourth Proportional to 4,627.84, 6,941.76 and 2,800

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Solution

The fourth proportional to 4,627.84, 6,941.76 and 2,800 is: 4,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.84 : 6,941.76 = 2,800 : x
  2. Step 2: Convert to fraction form
    4,627.84/6,941.76 = 2,800/x
  3. Step 3: Cross multiply
    4,627.84x = 6,941.76 × 2,800
  4. Step 4: Simplify right side
    4,627.84x = 19,436,928
  5. Step 5: Solve for x
    x = 19,436,928/4,627.84
  6. Step 6: Final answer
    x = 4,200

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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.