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Finding the Fourth Proportional to 3,580.88, 4,941.61 and 2,009.00

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Solution

The fourth proportional to 3,580.88, 4,941.61 and 2,009.00 is: 2,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.88 : 4,941.61 = 2,009.00 : x
  2. Step 2: Convert to fraction form
    3,580.88/4,941.61 = 2,009.00/x
  3. Step 3: Cross multiply
    3,580.88x = 4,941.61 × 2,009.00
  4. Step 4: Simplify right side
    3,580.88x = 9,927,701.82
  5. Step 5: Solve for x
    x = 9,927,701.82/3,580.88
  6. Step 6: Final answer
    x = 2,772.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.