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Finding the Fourth Proportional to 5,673.70, 7,830.01 and 3,317.22

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Solution

The fourth proportional to 5,673.70, 7,830.01 and 3,317.22 is: 4,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.70 : 7,830.01 = 3,317.22 : x
  2. Step 2: Convert to fraction form
    5,673.70/7,830.01 = 3,317.22/x
  3. Step 3: Cross multiply
    5,673.70x = 7,830.01 × 3,317.22
  4. Step 4: Simplify right side
    5,673.70x = 25,973,865.77
  5. Step 5: Solve for x
    x = 25,973,865.77/5,673.70
  6. Step 6: Final answer
    x = 4,577.94

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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.