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Finding the Fourth Proportional to 5,690.99, 7,849.11 and 3,702.18

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Solution

The fourth proportional to 5,690.99, 7,849.11 and 3,702.18 is: 5,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.99 : 7,849.11 = 3,702.18 : x
  2. Step 2: Convert to fraction form
    5,690.99/7,849.11 = 3,702.18/x
  3. Step 3: Cross multiply
    5,690.99x = 7,849.11 × 3,702.18
  4. Step 4: Simplify right side
    5,690.99x = 29,058,818.06
  5. Step 5: Solve for x
    x = 29,058,818.06/5,690.99
  6. Step 6: Final answer
    x = 5,106.11

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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.