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Finding the Fourth Proportional to 3,724.07, 5,586.05 and 1,127.00

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Solution

The fourth proportional to 3,724.07, 5,586.05 and 1,127.00 is: 1,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.07 : 5,586.05 = 1,127.00 : x
  2. Step 2: Convert to fraction form
    3,724.07/5,586.05 = 1,127.00/x
  3. Step 3: Cross multiply
    3,724.07x = 5,586.05 × 1,127.00
  4. Step 4: Simplify right side
    3,724.07x = 6,295,495.13
  5. Step 5: Solve for x
    x = 6,295,495.13/3,724.07
  6. Step 6: Final answer
    x = 1,690.49

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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.