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Finding the Fourth Proportional to 5,674.05, 7,830.03 and 3,156.03

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Solution

The fourth proportional to 5,674.05, 7,830.03 and 3,156.03 is: 4,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.05 : 7,830.03 = 3,156.03 : x
  2. Step 2: Convert to fraction form
    5,674.05/7,830.03 = 3,156.03/x
  3. Step 3: Cross multiply
    5,674.05x = 7,830.03 × 3,156.03
  4. Step 4: Simplify right side
    5,674.05x = 24,711,809.58
  5. Step 5: Solve for x
    x = 24,711,809.58/5,674.05
  6. Step 6: Final answer
    x = 4,355.23

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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.