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Finding the Fourth Proportional to 4,823.36, 6,654.12 and 3,702.32

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Solution

The fourth proportional to 4,823.36, 6,654.12 and 3,702.32 is: 5,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.36 : 6,654.12 = 3,702.32 : x
  2. Step 2: Convert to fraction form
    4,823.36/6,654.12 = 3,702.32/x
  3. Step 3: Cross multiply
    4,823.36x = 6,654.12 × 3,702.32
  4. Step 4: Simplify right side
    4,823.36x = 24,635,681.56
  5. Step 5: Solve for x
    x = 24,635,681.56/4,823.36
  6. Step 6: Final answer
    x = 5,107.58

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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.