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Finding the Fourth Proportional to 6,513.77, 8,989.49 and 3,681.47

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Solution

The fourth proportional to 6,513.77, 8,989.49 and 3,681.47 is: 5,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.77 : 8,989.49 = 3,681.47 : x
  2. Step 2: Convert to fraction form
    6,513.77/8,989.49 = 3,681.47/x
  3. Step 3: Cross multiply
    6,513.77x = 8,989.49 × 3,681.47
  4. Step 4: Simplify right side
    6,513.77x = 33,094,537.75
  5. Step 5: Solve for x
    x = 33,094,537.75/6,513.77
  6. Step 6: Final answer
    x = 5,080.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.