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Finding the Fourth Proportional to 3,720.35, 5,580.56 and 947.03

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Solution

The fourth proportional to 3,720.35, 5,580.56 and 947.03 is: 1,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.35 : 5,580.56 = 947.03 : x
  2. Step 2: Convert to fraction form
    3,720.35/5,580.56 = 947.03/x
  3. Step 3: Cross multiply
    3,720.35x = 5,580.56 × 947.03
  4. Step 4: Simplify right side
    3,720.35x = 5,284,926.87
  5. Step 5: Solve for x
    x = 5,284,926.87/3,720.35
  6. Step 6: Final answer
    x = 1,420.55

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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.