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Finding the Fourth Proportional to 4,613.42, 6,913.65 and 3,459.98

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Solution

The fourth proportional to 4,613.42, 6,913.65 and 3,459.98 is: 5,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.42 : 6,913.65 = 3,459.98 : x
  2. Step 2: Convert to fraction form
    4,613.42/6,913.65 = 3,459.98/x
  3. Step 3: Cross multiply
    4,613.42x = 6,913.65 × 3,459.98
  4. Step 4: Simplify right side
    4,613.42x = 23,921,090.73
  5. Step 5: Solve for x
    x = 23,921,090.73/4,613.42
  6. Step 6: Final answer
    x = 5,185.11

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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.