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Finding the Fourth Proportional to 5,569.74, 7,677.09 and 4,448.70

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Solution

The fourth proportional to 5,569.74, 7,677.09 and 4,448.70 is: 6,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.74 : 7,677.09 = 4,448.70 : x
  2. Step 2: Convert to fraction form
    5,569.74/7,677.09 = 4,448.70/x
  3. Step 3: Cross multiply
    5,569.74x = 7,677.09 × 4,448.70
  4. Step 4: Simplify right side
    5,569.74x = 34,153,070.28
  5. Step 5: Solve for x
    x = 34,153,070.28/5,569.74
  6. Step 6: Final answer
    x = 6,131.90

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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.