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Finding the Fourth Proportional to 3,484.25, 5,225.82 and 985.18

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Solution

The fourth proportional to 3,484.25, 5,225.82 and 985.18 is: 1,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.25 : 5,225.82 = 985.18 : x
  2. Step 2: Convert to fraction form
    3,484.25/5,225.82 = 985.18/x
  3. Step 3: Cross multiply
    3,484.25x = 5,225.82 × 985.18
  4. Step 4: Simplify right side
    3,484.25x = 5,148,347.46
  5. Step 5: Solve for x
    x = 5,148,347.46/3,484.25
  6. Step 6: Final answer
    x = 1,477.61

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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.