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Finding the Fourth Proportional to 4,713.74, 7,064.22 and 1,790.45

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Solution

The fourth proportional to 4,713.74, 7,064.22 and 1,790.45 is: 2,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.74 : 7,064.22 = 1,790.45 : x
  2. Step 2: Convert to fraction form
    4,713.74/7,064.22 = 1,790.45/x
  3. Step 3: Cross multiply
    4,713.74x = 7,064.22 × 1,790.45
  4. Step 4: Simplify right side
    4,713.74x = 12,648,097.38
  5. Step 5: Solve for x
    x = 12,648,097.38/4,713.74
  6. Step 6: Final answer
    x = 2,683.24

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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.