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Finding the Fourth Proportional to 5,756.71, 8,625.83 and 5,203.13

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Solution

The fourth proportional to 5,756.71, 8,625.83 and 5,203.13 is: 7,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.71 : 8,625.83 = 5,203.13 : x
  2. Step 2: Convert to fraction form
    5,756.71/8,625.83 = 5,203.13/x
  3. Step 3: Cross multiply
    5,756.71x = 8,625.83 × 5,203.13
  4. Step 4: Simplify right side
    5,756.71x = 44,881,284.73
  5. Step 5: Solve for x
    x = 44,881,284.73/5,756.71
  6. Step 6: Final answer
    x = 7,796.35

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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.