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Finding the Fourth Proportional to 4,702.44, 6,486.86 and 3,816.68

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Solution

The fourth proportional to 4,702.44, 6,486.86 and 3,816.68 is: 5,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.44 : 6,486.86 = 3,816.68 : x
  2. Step 2: Convert to fraction form
    4,702.44/6,486.86 = 3,816.68/x
  3. Step 3: Cross multiply
    4,702.44x = 6,486.86 × 3,816.68
  4. Step 4: Simplify right side
    4,702.44x = 24,758,268.82
  5. Step 5: Solve for x
    x = 24,758,268.82/4,702.44
  6. Step 6: Final answer
    x = 5,264.98

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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.