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Finding the Fourth Proportional to 4,466.24, 6,702.64 and 3,818.24

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Solution

The fourth proportional to 4,466.24, 6,702.64 and 3,818.24 is: 5,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.24 : 6,702.64 = 3,818.24 : x
  2. Step 2: Convert to fraction form
    4,466.24/6,702.64 = 3,818.24/x
  3. Step 3: Cross multiply
    4,466.24x = 6,702.64 × 3,818.24
  4. Step 4: Simplify right side
    4,466.24x = 25,592,288.15
  5. Step 5: Solve for x
    x = 25,592,288.15/4,466.24
  6. Step 6: Final answer
    x = 5,730.16

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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.