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Finding the Fourth Proportional to 3,503.10, 5,254.05 and 1,310.70

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Solution

The fourth proportional to 3,503.10, 5,254.05 and 1,310.70 is: 1,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.10 : 5,254.05 = 1,310.70 : x
  2. Step 2: Convert to fraction form
    3,503.10/5,254.05 = 1,310.70/x
  3. Step 3: Cross multiply
    3,503.10x = 5,254.05 × 1,310.70
  4. Step 4: Simplify right side
    3,503.10x = 6,886,483.34
  5. Step 5: Solve for x
    x = 6,886,483.34/3,503.10
  6. Step 6: Final answer
    x = 1,965.83

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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.