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Finding the Fourth Proportional to 6,496.78, 8,966.01 and 3,702.28

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Solution

The fourth proportional to 6,496.78, 8,966.01 and 3,702.28 is: 5,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.78 : 8,966.01 = 3,702.28 : x
  2. Step 2: Convert to fraction form
    6,496.78/8,966.01 = 3,702.28/x
  3. Step 3: Cross multiply
    6,496.78x = 8,966.01 × 3,702.28
  4. Step 4: Simplify right side
    6,496.78x = 33,194,679.50
  5. Step 5: Solve for x
    x = 33,194,679.50/6,496.78
  6. Step 6: Final answer
    x = 5,109.40

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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.