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Finding the Fourth Proportional to 5,065.57, 6,983.58 and 3,490.93

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Solution

The fourth proportional to 5,065.57, 6,983.58 and 3,490.93 is: 4,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.57 : 6,983.58 = 3,490.93 : x
  2. Step 2: Convert to fraction form
    5,065.57/6,983.58 = 3,490.93/x
  3. Step 3: Cross multiply
    5,065.57x = 6,983.58 × 3,490.93
  4. Step 4: Simplify right side
    5,065.57x = 24,379,188.93
  5. Step 5: Solve for x
    x = 24,379,188.93/5,065.57
  6. Step 6: Final answer
    x = 4,812.72

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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.