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Finding the Fourth Proportional to 5,698.79, 7,866.74 and 3,461.39

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Solution

The fourth proportional to 5,698.79, 7,866.74 and 3,461.39 is: 4,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.79 : 7,866.74 = 3,461.39 : x
  2. Step 2: Convert to fraction form
    5,698.79/7,866.74 = 3,461.39/x
  3. Step 3: Cross multiply
    5,698.79x = 7,866.74 × 3,461.39
  4. Step 4: Simplify right side
    5,698.79x = 27,229,837.86
  5. Step 5: Solve for x
    x = 27,229,837.86/5,698.79
  6. Step 6: Final answer
    x = 4,778.18

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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.