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Finding the Fourth Proportional to 3,722.60, 5,580.01 and 1,256.57

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Solution

The fourth proportional to 3,722.60, 5,580.01 and 1,256.57 is: 1,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.60 : 5,580.01 = 1,256.57 : x
  2. Step 2: Convert to fraction form
    3,722.60/5,580.01 = 1,256.57/x
  3. Step 3: Cross multiply
    3,722.60x = 5,580.01 × 1,256.57
  4. Step 4: Simplify right side
    3,722.60x = 7,011,673.17
  5. Step 5: Solve for x
    x = 7,011,673.17/3,722.60
  6. Step 6: Final answer
    x = 1,883.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.