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Finding the Fourth Proportional to 5,673.02, 7,829.70 and 3,314.70

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Solution

The fourth proportional to 5,673.02, 7,829.70 and 3,314.70 is: 4,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.02 : 7,829.70 = 3,314.70 : x
  2. Step 2: Convert to fraction form
    5,673.02/7,829.70 = 3,314.70/x
  3. Step 3: Cross multiply
    5,673.02x = 7,829.70 × 3,314.70
  4. Step 4: Simplify right side
    5,673.02x = 25,953,106.59
  5. Step 5: Solve for x
    x = 25,953,106.59/5,673.02
  6. Step 6: Final answer
    x = 4,574.83

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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.