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Finding the Fourth Proportional to 3,484.64, 5,225.74 and 1,019.41

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Solution

The fourth proportional to 3,484.64, 5,225.74 and 1,019.41 is: 1,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.64 : 5,225.74 = 1,019.41 : x
  2. Step 2: Convert to fraction form
    3,484.64/5,225.74 = 1,019.41/x
  3. Step 3: Cross multiply
    3,484.64x = 5,225.74 × 1,019.41
  4. Step 4: Simplify right side
    3,484.64x = 5,327,171.61
  5. Step 5: Solve for x
    x = 5,327,171.61/3,484.64
  6. Step 6: Final answer
    x = 1,528.76

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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.