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Finding the Fourth Proportional to 3,580.64, 4,941.14 and 2,008.74

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Solution

The fourth proportional to 3,580.64, 4,941.14 and 2,008.74 is: 2,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.64 : 4,941.14 = 2,008.74 : x
  2. Step 2: Convert to fraction form
    3,580.64/4,941.14 = 2,008.74/x
  3. Step 3: Cross multiply
    3,580.64x = 4,941.14 × 2,008.74
  4. Step 4: Simplify right side
    3,580.64x = 9,925,465.56
  5. Step 5: Solve for x
    x = 9,925,465.56/3,580.64
  6. Step 6: Final answer
    x = 2,771.98

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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.