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Finding the Fourth Proportional to 5,673.53, 7,827.23 and 3,283.06

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Solution

The fourth proportional to 5,673.53, 7,827.23 and 3,283.06 is: 4,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.53 : 7,827.23 = 3,283.06 : x
  2. Step 2: Convert to fraction form
    5,673.53/7,827.23 = 3,283.06/x
  3. Step 3: Cross multiply
    5,673.53x = 7,827.23 × 3,283.06
  4. Step 4: Simplify right side
    5,673.53x = 25,697,265.72
  5. Step 5: Solve for x
    x = 25,697,265.72/5,673.53
  6. Step 6: Final answer
    x = 4,529.33

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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.