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Finding the Fourth Proportional to 3,420.83, 5,131.52 and 955.67

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Solution

The fourth proportional to 3,420.83, 5,131.52 and 955.67 is: 1,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.83 : 5,131.52 = 955.67 : x
  2. Step 2: Convert to fraction form
    3,420.83/5,131.52 = 955.67/x
  3. Step 3: Cross multiply
    3,420.83x = 5,131.52 × 955.67
  4. Step 4: Simplify right side
    3,420.83x = 4,904,009.28
  5. Step 5: Solve for x
    x = 4,904,009.28/3,420.83
  6. Step 6: Final answer
    x = 1,433.58

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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.