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Finding the Fourth Proportional to 7,297.78, 10,946.70 and 2,916.34

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Solution

The fourth proportional to 7,297.78, 10,946.70 and 2,916.34 is: 4,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.78 : 10,946.70 = 2,916.34 : x
  2. Step 2: Convert to fraction form
    7,297.78/10,946.70 = 2,916.34/x
  3. Step 3: Cross multiply
    7,297.78x = 10,946.70 × 2,916.34
  4. Step 4: Simplify right side
    7,297.78x = 31,924,299.08
  5. Step 5: Solve for x
    x = 31,924,299.08/7,297.78
  6. Step 6: Final answer
    x = 4,374.52

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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.