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Finding the Fourth Proportional to 5,561.84, 7,677.85 and 3,547.96

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Solution

The fourth proportional to 5,561.84, 7,677.85 and 3,547.96 is: 4,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.84 : 7,677.85 = 3,547.96 : x
  2. Step 2: Convert to fraction form
    5,561.84/7,677.85 = 3,547.96/x
  3. Step 3: Cross multiply
    5,561.84x = 7,677.85 × 3,547.96
  4. Step 4: Simplify right side
    5,561.84x = 27,240,676.62
  5. Step 5: Solve for x
    x = 27,240,676.62/5,561.84
  6. Step 6: Final answer
    x = 4,897.78

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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.