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Finding the Fourth Proportional to 3,720.41, 5,580.58 and 947.07

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Solution

The fourth proportional to 3,720.41, 5,580.58 and 947.07 is: 1,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.41 : 5,580.58 = 947.07 : x
  2. Step 2: Convert to fraction form
    3,720.41/5,580.58 = 947.07/x
  3. Step 3: Cross multiply
    3,720.41x = 5,580.58 × 947.07
  4. Step 4: Simplify right side
    3,720.41x = 5,285,199.90
  5. Step 5: Solve for x
    x = 5,285,199.90/3,720.41
  6. Step 6: Final answer
    x = 1,420.60

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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.