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Finding the Fourth Proportional to 3,503.40, 5,254.76 and 1,311.08

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Solution

The fourth proportional to 3,503.40, 5,254.76 and 1,311.08 is: 1,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.40 : 5,254.76 = 1,311.08 : x
  2. Step 2: Convert to fraction form
    3,503.40/5,254.76 = 1,311.08/x
  3. Step 3: Cross multiply
    3,503.40x = 5,254.76 × 1,311.08
  4. Step 4: Simplify right side
    3,503.40x = 6,889,410.74
  5. Step 5: Solve for x
    x = 6,889,410.74/3,503.40
  6. Step 6: Final answer
    x = 1,966.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.