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Finding the Fourth Proportional to 3,484.94, 5,228.22 and 2,509.29

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Solution

The fourth proportional to 3,484.94, 5,228.22 and 2,509.29 is: 3,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.94 : 5,228.22 = 2,509.29 : x
  2. Step 2: Convert to fraction form
    3,484.94/5,228.22 = 2,509.29/x
  3. Step 3: Cross multiply
    3,484.94x = 5,228.22 × 2,509.29
  4. Step 4: Simplify right side
    3,484.94x = 13,119,120.16
  5. Step 5: Solve for x
    x = 13,119,120.16/3,484.94
  6. Step 6: Final answer
    x = 3,764.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.