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Finding the Fourth Proportional to 5,724.54, 7,897.59 and 3,362.94

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Solution

The fourth proportional to 5,724.54, 7,897.59 and 3,362.94 is: 4,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.54 : 7,897.59 = 3,362.94 : x
  2. Step 2: Convert to fraction form
    5,724.54/7,897.59 = 3,362.94/x
  3. Step 3: Cross multiply
    5,724.54x = 7,897.59 × 3,362.94
  4. Step 4: Simplify right side
    5,724.54x = 26,559,121.31
  5. Step 5: Solve for x
    x = 26,559,121.31/5,724.54
  6. Step 6: Final answer
    x = 4,639.52

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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.