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Finding the Fourth Proportional to 4,702.74, 6,485.28 and 2,814

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Solution

The fourth proportional to 4,702.74, 6,485.28 and 2,814 is: 3,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.74 : 6,485.28 = 2,814 : x
  2. Step 2: Convert to fraction form
    4,702.74/6,485.28 = 2,814/x
  3. Step 3: Cross multiply
    4,702.74x = 6,485.28 × 2,814
  4. Step 4: Simplify right side
    4,702.74x = 18,249,577.92
  5. Step 5: Solve for x
    x = 18,249,577.92/4,702.74
  6. Step 6: Final answer
    x = 3,880.63

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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.