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Finding the Fourth Proportional to 3,583.32, 5,374.50 and 985.80

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Solution

The fourth proportional to 3,583.32, 5,374.50 and 985.80 is: 1,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.32 : 5,374.50 = 985.80 : x
  2. Step 2: Convert to fraction form
    3,583.32/5,374.50 = 985.80/x
  3. Step 3: Cross multiply
    3,583.32x = 5,374.50 × 985.80
  4. Step 4: Simplify right side
    3,583.32x = 5,298,182.10
  5. Step 5: Solve for x
    x = 5,298,182.10/3,583.32
  6. Step 6: Final answer
    x = 1,478.57

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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.