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Finding the Fourth Proportional to 5,285.96, 7,294.32 and 2,927.96

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Solution

The fourth proportional to 5,285.96, 7,294.32 and 2,927.96 is: 4,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.96 : 7,294.32 = 2,927.96 : x
  2. Step 2: Convert to fraction form
    5,285.96/7,294.32 = 2,927.96/x
  3. Step 3: Cross multiply
    5,285.96x = 7,294.32 × 2,927.96
  4. Step 4: Simplify right side
    5,285.96x = 21,357,477.19
  5. Step 5: Solve for x
    x = 21,357,477.19/5,285.96
  6. Step 6: Final answer
    x = 4,040.42

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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.