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Finding the Fourth Proportional to 4,897.84, 6,758.70 and 2,801.98

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Solution

The fourth proportional to 4,897.84, 6,758.70 and 2,801.98 is: 3,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.84 : 6,758.70 = 2,801.98 : x
  2. Step 2: Convert to fraction form
    4,897.84/6,758.70 = 2,801.98/x
  3. Step 3: Cross multiply
    4,897.84x = 6,758.70 × 2,801.98
  4. Step 4: Simplify right side
    4,897.84x = 18,937,742.23
  5. Step 5: Solve for x
    x = 18,937,742.23/4,897.84
  6. Step 6: Final answer
    x = 3,866.55

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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.