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Finding the Fourth Proportional to 5,306.37, 7,322.37 and 2,916.30

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Solution

The fourth proportional to 5,306.37, 7,322.37 and 2,916.30 is: 4,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.37 : 7,322.37 = 2,916.30 : x
  2. Step 2: Convert to fraction form
    5,306.37/7,322.37 = 2,916.30/x
  3. Step 3: Cross multiply
    5,306.37x = 7,322.37 × 2,916.30
  4. Step 4: Simplify right side
    5,306.37x = 21,354,227.63
  5. Step 5: Solve for x
    x = 21,354,227.63/5,306.37
  6. Step 6: Final answer
    x = 4,024.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.