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Finding the Fourth Proportional to 4,496.94, 6,740.10 and 2,028.86

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Solution

The fourth proportional to 4,496.94, 6,740.10 and 2,028.86 is: 3,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.94 : 6,740.10 = 2,028.86 : x
  2. Step 2: Convert to fraction form
    4,496.94/6,740.10 = 2,028.86/x
  3. Step 3: Cross multiply
    4,496.94x = 6,740.10 × 2,028.86
  4. Step 4: Simplify right side
    4,496.94x = 13,674,719.29
  5. Step 5: Solve for x
    x = 13,674,719.29/4,496.94
  6. Step 6: Final answer
    x = 3,040.89

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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.