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Finding the Fourth Proportional to 3,484.42, 5,228.55 and 1,536.57

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Solution

The fourth proportional to 3,484.42, 5,228.55 and 1,536.57 is: 2,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.42 : 5,228.55 = 1,536.57 : x
  2. Step 2: Convert to fraction form
    3,484.42/5,228.55 = 1,536.57/x
  3. Step 3: Cross multiply
    3,484.42x = 5,228.55 × 1,536.57
  4. Step 4: Simplify right side
    3,484.42x = 8,034,033.07
  5. Step 5: Solve for x
    x = 8,034,033.07/3,484.42
  6. Step 6: Final answer
    x = 2,305.70

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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.