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Finding the Fourth Proportional to 4,946.22, 7,416 and 1,658.43

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Solution

The fourth proportional to 4,946.22, 7,416 and 1,658.43 is: 2,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.22 : 7,416 = 1,658.43 : x
  2. Step 2: Convert to fraction form
    4,946.22/7,416 = 1,658.43/x
  3. Step 3: Cross multiply
    4,946.22x = 7,416 × 1,658.43
  4. Step 4: Simplify right side
    4,946.22x = 12,298,916.88
  5. Step 5: Solve for x
    x = 12,298,916.88/4,946.22
  6. Step 6: Final answer
    x = 2,486.53

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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.