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Finding the Fourth Proportional to 5,252.83, 7,881.99 and 3,403.47

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Solution

The fourth proportional to 5,252.83, 7,881.99 and 3,403.47 is: 5,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.83 : 7,881.99 = 3,403.47 : x
  2. Step 2: Convert to fraction form
    5,252.83/7,881.99 = 3,403.47/x
  3. Step 3: Cross multiply
    5,252.83x = 7,881.99 × 3,403.47
  4. Step 4: Simplify right side
    5,252.83x = 26,826,116.51
  5. Step 5: Solve for x
    x = 26,826,116.51/5,252.83
  6. Step 6: Final answer
    x = 5,106.98

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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.