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Finding the Fourth Proportional to 4,709.16, 6,498.90 and 2,821.32

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Solution

The fourth proportional to 4,709.16, 6,498.90 and 2,821.32 is: 3,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.16 : 6,498.90 = 2,821.32 : x
  2. Step 2: Convert to fraction form
    4,709.16/6,498.90 = 2,821.32/x
  3. Step 3: Cross multiply
    4,709.16x = 6,498.90 × 2,821.32
  4. Step 4: Simplify right side
    4,709.16x = 18,335,476.55
  5. Step 5: Solve for x
    x = 18,335,476.55/4,709.16
  6. Step 6: Final answer
    x = 3,893.58

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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.