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Finding the Fourth Proportional to 5,294.79, 7,940.31 and 1,596.06

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Solution

The fourth proportional to 5,294.79, 7,940.31 and 1,596.06 is: 2,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.79 : 7,940.31 = 1,596.06 : x
  2. Step 2: Convert to fraction form
    5,294.79/7,940.31 = 1,596.06/x
  3. Step 3: Cross multiply
    5,294.79x = 7,940.31 × 1,596.06
  4. Step 4: Simplify right side
    5,294.79x = 12,673,211.18
  5. Step 5: Solve for x
    x = 12,673,211.18/5,294.79
  6. Step 6: Final answer
    x = 2,393.52

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1.5x scale

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.