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Finding the Fourth Proportional to 3,509.94, 4,829.19 and 2,665.74

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Solution

The fourth proportional to 3,509.94, 4,829.19 and 2,665.74 is: 3,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.94 : 4,829.19 = 2,665.74 : x
  2. Step 2: Convert to fraction form
    3,509.94/4,829.19 = 2,665.74/x
  3. Step 3: Cross multiply
    3,509.94x = 4,829.19 × 2,665.74
  4. Step 4: Simplify right side
    3,509.94x = 12,873,364.95
  5. Step 5: Solve for x
    x = 12,873,364.95/3,509.94
  6. Step 6: Final answer
    x = 3,667.69

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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.