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Finding the Fourth Proportional to 5,569.30, 8,290.31 and 5,486.25

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Solution

The fourth proportional to 5,569.30, 8,290.31 and 5,486.25 is: 8,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.30 : 8,290.31 = 5,486.25 : x
  2. Step 2: Convert to fraction form
    5,569.30/8,290.31 = 5,486.25/x
  3. Step 3: Cross multiply
    5,569.30x = 8,290.31 × 5,486.25
  4. Step 4: Simplify right side
    5,569.30x = 45,482,713.24
  5. Step 5: Solve for x
    x = 45,482,713.24/5,569.30
  6. Step 6: Final answer
    x = 8,166.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.