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Finding the Fourth Proportional to 6,513.59, 8,988.71 and 3,862.26

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Solution

The fourth proportional to 6,513.59, 8,988.71 and 3,862.26 is: 5,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.59 : 8,988.71 = 3,862.26 : x
  2. Step 2: Convert to fraction form
    6,513.59/8,988.71 = 3,862.26/x
  3. Step 3: Cross multiply
    6,513.59x = 8,988.71 × 3,862.26
  4. Step 4: Simplify right side
    6,513.59x = 34,716,715.77
  5. Step 5: Solve for x
    x = 34,716,715.77/6,513.59
  6. Step 6: Final answer
    x = 5,329.89

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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.