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Finding the Fourth Proportional to 6,580.88, 9,875.36 and 3,813.04

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Solution

The fourth proportional to 6,580.88, 9,875.36 and 3,813.04 is: 5,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.88 : 9,875.36 = 3,813.04 : x
  2. Step 2: Convert to fraction form
    6,580.88/9,875.36 = 3,813.04/x
  3. Step 3: Cross multiply
    6,580.88x = 9,875.36 × 3,813.04
  4. Step 4: Simplify right side
    6,580.88x = 37,655,142.69
  5. Step 5: Solve for x
    x = 37,655,142.69/6,580.88
  6. Step 6: Final answer
    x = 5,721.90

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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.