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Finding the Fourth Proportional to 5,675.55, 7,829.06 and 3,406.30

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Solution

The fourth proportional to 5,675.55, 7,829.06 and 3,406.30 is: 4,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.55 : 7,829.06 = 3,406.30 : x
  2. Step 2: Convert to fraction form
    5,675.55/7,829.06 = 3,406.30/x
  3. Step 3: Cross multiply
    5,675.55x = 7,829.06 × 3,406.30
  4. Step 4: Simplify right side
    5,675.55x = 26,668,134.51
  5. Step 5: Solve for x
    x = 26,668,134.51/5,675.55
  6. Step 6: Final answer
    x = 4,698.78

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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.