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Finding the Fourth Proportional to 3,722.04, 5,583.60 and 3,070.80

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Solution

The fourth proportional to 3,722.04, 5,583.60 and 3,070.80 is: 4,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.04 : 5,583.60 = 3,070.80 : x
  2. Step 2: Convert to fraction form
    3,722.04/5,583.60 = 3,070.80/x
  3. Step 3: Cross multiply
    3,722.04x = 5,583.60 × 3,070.80
  4. Step 4: Simplify right side
    3,722.04x = 17,146,118.88
  5. Step 5: Solve for x
    x = 17,146,118.88/3,722.04
  6. Step 6: Final answer
    x = 4,606.65

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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.