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Finding the Fourth Proportional to 5,946.42, 8,908.10 and 4,613.20

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Solution

The fourth proportional to 5,946.42, 8,908.10 and 4,613.20 is: 6,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.42 : 8,908.10 = 4,613.20 : x
  2. Step 2: Convert to fraction form
    5,946.42/8,908.10 = 4,613.20/x
  3. Step 3: Cross multiply
    5,946.42x = 8,908.10 × 4,613.20
  4. Step 4: Simplify right side
    5,946.42x = 41,094,852.77
  5. Step 5: Solve for x
    x = 41,094,852.77/5,946.42
  6. Step 6: Final answer
    x = 6,910.86

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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.