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Finding the Fourth Proportional to 3,580.52, 5,370.17 and 948.05

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Solution

The fourth proportional to 3,580.52, 5,370.17 and 948.05 is: 1,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.52 : 5,370.17 = 948.05 : x
  2. Step 2: Convert to fraction form
    3,580.52/5,370.17 = 948.05/x
  3. Step 3: Cross multiply
    3,580.52x = 5,370.17 × 948.05
  4. Step 4: Simplify right side
    3,580.52x = 5,091,158.08
  5. Step 5: Solve for x
    x = 5,091,158.08/3,580.52
  6. Step 6: Final answer
    x = 1,421.90

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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.