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Finding the Fourth Proportional to 5,827.49, 8,721.84 and 5,308.69

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Solution

The fourth proportional to 5,827.49, 8,721.84 and 5,308.69 is: 7,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.49 : 8,721.84 = 5,308.69 : x
  2. Step 2: Convert to fraction form
    5,827.49/8,721.84 = 5,308.69/x
  3. Step 3: Cross multiply
    5,827.49x = 8,721.84 × 5,308.69
  4. Step 4: Simplify right side
    5,827.49x = 46,301,501.18
  5. Step 5: Solve for x
    x = 46,301,501.18/5,827.49
  6. Step 6: Final answer
    x = 7,945.36

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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.