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Finding the Fourth Proportional to 3,484.60, 5,228.26 and 1,535.43

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Solution

The fourth proportional to 3,484.60, 5,228.26 and 1,535.43 is: 2,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.60 : 5,228.26 = 1,535.43 : x
  2. Step 2: Convert to fraction form
    3,484.60/5,228.26 = 1,535.43/x
  3. Step 3: Cross multiply
    3,484.60x = 5,228.26 × 1,535.43
  4. Step 4: Simplify right side
    3,484.60x = 8,027,627.25
  5. Step 5: Solve for x
    x = 8,027,627.25/3,484.60
  6. Step 6: Final answer
    x = 2,303.74

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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.