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Finding the Fourth Proportional to 5,450.09, 7,530.98 and 4,897.80

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Solution

The fourth proportional to 5,450.09, 7,530.98 and 4,897.80 is: 6,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.09 : 7,530.98 = 4,897.80 : x
  2. Step 2: Convert to fraction form
    5,450.09/7,530.98 = 4,897.80/x
  3. Step 3: Cross multiply
    5,450.09x = 7,530.98 × 4,897.80
  4. Step 4: Simplify right side
    5,450.09x = 36,885,209.36
  5. Step 5: Solve for x
    x = 36,885,209.36/5,450.09
  6. Step 6: Final answer
    x = 6,767.82

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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.