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Finding the Fourth Proportional to 3,774.30, 5,662.80 and 1,583.70

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Solution

The fourth proportional to 3,774.30, 5,662.80 and 1,583.70 is: 2,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.30 : 5,662.80 = 1,583.70 : x
  2. Step 2: Convert to fraction form
    3,774.30/5,662.80 = 1,583.70/x
  3. Step 3: Cross multiply
    3,774.30x = 5,662.80 × 1,583.70
  4. Step 4: Simplify right side
    3,774.30x = 8,968,176.36
  5. Step 5: Solve for x
    x = 8,968,176.36/3,774.30
  6. Step 6: Final answer
    x = 2,376.12

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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.