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Finding the Fourth Proportional to 3,503.36, 5,254.85 and 1,311.93

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Solution

The fourth proportional to 3,503.36, 5,254.85 and 1,311.93 is: 1,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.36 : 5,254.85 = 1,311.93 : x
  2. Step 2: Convert to fraction form
    3,503.36/5,254.85 = 1,311.93/x
  3. Step 3: Cross multiply
    3,503.36x = 5,254.85 × 1,311.93
  4. Step 4: Simplify right side
    3,503.36x = 6,893,998.64
  5. Step 5: Solve for x
    x = 6,893,998.64/3,503.36
  6. Step 6: Final answer
    x = 1,967.82

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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.