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Finding the Fourth Proportional to 4,804.92, 6,629.65 and 2,709.05

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Solution

The fourth proportional to 4,804.92, 6,629.65 and 2,709.05 is: 3,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.92 : 6,629.65 = 2,709.05 : x
  2. Step 2: Convert to fraction form
    4,804.92/6,629.65 = 2,709.05/x
  3. Step 3: Cross multiply
    4,804.92x = 6,629.65 × 2,709.05
  4. Step 4: Simplify right side
    4,804.92x = 17,960,013.41
  5. Step 5: Solve for x
    x = 17,960,013.41/4,804.92
  6. Step 6: Final answer
    x = 3,737.84

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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.