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Finding the Fourth Proportional to 5,254.20, 7,844.04 and 4,671

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Solution

The fourth proportional to 5,254.20, 7,844.04 and 4,671 is: 6,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.20 : 7,844.04 = 4,671 : x
  2. Step 2: Convert to fraction form
    5,254.20/7,844.04 = 4,671/x
  3. Step 3: Cross multiply
    5,254.20x = 7,844.04 × 4,671
  4. Step 4: Simplify right side
    5,254.20x = 36,639,510.84
  5. Step 5: Solve for x
    x = 36,639,510.84/5,254.20
  6. Step 6: Final answer
    x = 6,973.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.