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Finding the Fourth Proportional to 5,690.75, 7,854.06 and 5,441.69

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Solution

The fourth proportional to 5,690.75, 7,854.06 and 5,441.69 is: 7,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.75 : 7,854.06 = 5,441.69 : x
  2. Step 2: Convert to fraction form
    5,690.75/7,854.06 = 5,441.69/x
  3. Step 3: Cross multiply
    5,690.75x = 7,854.06 × 5,441.69
  4. Step 4: Simplify right side
    5,690.75x = 42,739,359.76
  5. Step 5: Solve for x
    x = 42,739,359.76/5,690.75
  6. Step 6: Final answer
    x = 7,510.32

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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.