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Finding the Fourth Proportional to 5,435.08, 8,148.62 and 1,735.18

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Solution

The fourth proportional to 5,435.08, 8,148.62 and 1,735.18 is: 2,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.08 : 8,148.62 = 1,735.18 : x
  2. Step 2: Convert to fraction form
    5,435.08/8,148.62 = 1,735.18/x
  3. Step 3: Cross multiply
    5,435.08x = 8,148.62 × 1,735.18
  4. Step 4: Simplify right side
    5,435.08x = 14,139,306.42
  5. Step 5: Solve for x
    x = 14,139,306.42/5,435.08
  6. Step 6: Final answer
    x = 2,601.49

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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.