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Finding the Fourth Proportional to 6,970.29, 10,449.02 and 3,019.07

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Solution

The fourth proportional to 6,970.29, 10,449.02 and 3,019.07 is: 4,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.29 : 10,449.02 = 3,019.07 : x
  2. Step 2: Convert to fraction form
    6,970.29/10,449.02 = 3,019.07/x
  3. Step 3: Cross multiply
    6,970.29x = 10,449.02 × 3,019.07
  4. Step 4: Simplify right side
    6,970.29x = 31,546,266.79
  5. Step 5: Solve for x
    x = 31,546,266.79/6,970.29
  6. Step 6: Final answer
    x = 4,525.82

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