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Finding the Fourth Proportional to 5,566, 8,341.71 and 3,101.98

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Solution

The fourth proportional to 5,566, 8,341.71 and 3,101.98 is: 4,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566 : 8,341.71 = 3,101.98 : x
  2. Step 2: Convert to fraction form
    5,566/8,341.71 = 3,101.98/x
  3. Step 3: Cross multiply
    5,566x = 8,341.71 × 3,101.98
  4. Step 4: Simplify right side
    5,566x = 25,875,817.59
  5. Step 5: Solve for x
    x = 25,875,817.59/5,566
  6. Step 6: Final answer
    x = 4,648.91

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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.