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Finding the Fourth Proportional to 4,970.28, 7,458.66 and 1,892.28

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Solution

The fourth proportional to 4,970.28, 7,458.66 and 1,892.28 is: 2,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.28 : 7,458.66 = 1,892.28 : x
  2. Step 2: Convert to fraction form
    4,970.28/7,458.66 = 1,892.28/x
  3. Step 3: Cross multiply
    4,970.28x = 7,458.66 × 1,892.28
  4. Step 4: Simplify right side
    4,970.28x = 14,113,873.14
  5. Step 5: Solve for x
    x = 14,113,873.14/4,970.28
  6. Step 6: Final answer
    x = 2,839.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.