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Finding the Fourth Proportional to 5,703.91, 7,814.22 and 5,490.70

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Solution

The fourth proportional to 5,703.91, 7,814.22 and 5,490.70 is: 7,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.91 : 7,814.22 = 5,490.70 : x
  2. Step 2: Convert to fraction form
    5,703.91/7,814.22 = 5,490.70/x
  3. Step 3: Cross multiply
    5,703.91x = 7,814.22 × 5,490.70
  4. Step 4: Simplify right side
    5,703.91x = 42,905,471.23
  5. Step 5: Solve for x
    x = 42,905,471.23/5,703.91
  6. Step 6: Final answer
    x = 7,522.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.