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Finding the Fourth Proportional to 4,709.34, 7,066.85 and 1,790.10

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Solution

The fourth proportional to 4,709.34, 7,066.85 and 1,790.10 is: 2,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.34 : 7,066.85 = 1,790.10 : x
  2. Step 2: Convert to fraction form
    4,709.34/7,066.85 = 1,790.10/x
  3. Step 3: Cross multiply
    4,709.34x = 7,066.85 × 1,790.10
  4. Step 4: Simplify right side
    4,709.34x = 12,650,359.23
  5. Step 5: Solve for x
    x = 12,650,359.23/4,709.34
  6. Step 6: Final answer
    x = 2,686.23

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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.