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Finding the Fourth Proportional to 3,583.69, 5,374.58 and 986.01

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Solution

The fourth proportional to 3,583.69, 5,374.58 and 986.01 is: 1,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.69 : 5,374.58 = 986.01 : x
  2. Step 2: Convert to fraction form
    3,583.69/5,374.58 = 986.01/x
  3. Step 3: Cross multiply
    3,583.69x = 5,374.58 × 986.01
  4. Step 4: Simplify right side
    3,583.69x = 5,299,384.70
  5. Step 5: Solve for x
    x = 5,299,384.70/3,583.69
  6. Step 6: Final answer
    x = 1,478.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.