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Finding the Fourth Proportional to 3,283.84, 4,897.28 and 2,800

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Solution

The fourth proportional to 3,283.84, 4,897.28 and 2,800 is: 4,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.84 : 4,897.28 = 2,800 : x
  2. Step 2: Convert to fraction form
    3,283.84/4,897.28 = 2,800/x
  3. Step 3: Cross multiply
    3,283.84x = 4,897.28 × 2,800
  4. Step 4: Simplify right side
    3,283.84x = 13,712,384
  5. Step 5: Solve for x
    x = 13,712,384/3,283.84
  6. Step 6: Final answer
    x = 4,175.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.