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Finding the Fourth Proportional to 5,335.76, 8,005.17 and 1,638.53

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Solution

The fourth proportional to 5,335.76, 8,005.17 and 1,638.53 is: 2,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.76 : 8,005.17 = 1,638.53 : x
  2. Step 2: Convert to fraction form
    5,335.76/8,005.17 = 1,638.53/x
  3. Step 3: Cross multiply
    5,335.76x = 8,005.17 × 1,638.53
  4. Step 4: Simplify right side
    5,335.76x = 13,116,671.17
  5. Step 5: Solve for x
    x = 13,116,671.17/5,335.76
  6. Step 6: Final answer
    x = 2,458.26

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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.