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Finding the Fourth Proportional to 3,431.74, 5,147.61 and 1,483.95

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Solution

The fourth proportional to 3,431.74, 5,147.61 and 1,483.95 is: 2,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.74 : 5,147.61 = 1,483.95 : x
  2. Step 2: Convert to fraction form
    3,431.74/5,147.61 = 1,483.95/x
  3. Step 3: Cross multiply
    3,431.74x = 5,147.61 × 1,483.95
  4. Step 4: Simplify right side
    3,431.74x = 7,638,795.86
  5. Step 5: Solve for x
    x = 7,638,795.86/3,431.74
  6. Step 6: Final answer
    x = 2,225.93

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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.