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Finding the Fourth Proportional to 5,215.02, 7,821.70 and 1,705

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Solution

The fourth proportional to 5,215.02, 7,821.70 and 1,705 is: 2,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.02 : 7,821.70 = 1,705 : x
  2. Step 2: Convert to fraction form
    5,215.02/7,821.70 = 1,705/x
  3. Step 3: Cross multiply
    5,215.02x = 7,821.70 × 1,705
  4. Step 4: Simplify right side
    5,215.02x = 13,335,989.98
  5. Step 5: Solve for x
    x = 13,335,989.98/5,215.02
  6. Step 6: Final answer
    x = 2,557.23

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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.