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Finding the Fourth Proportional to 4,354.34, 6,526.22 and 2,506.74

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Solution

The fourth proportional to 4,354.34, 6,526.22 and 2,506.74 is: 3,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.34 : 6,526.22 = 2,506.74 : x
  2. Step 2: Convert to fraction form
    4,354.34/6,526.22 = 2,506.74/x
  3. Step 3: Cross multiply
    4,354.34x = 6,526.22 × 2,506.74
  4. Step 4: Simplify right side
    4,354.34x = 16,359,536.72
  5. Step 5: Solve for x
    x = 16,359,536.72/4,354.34
  6. Step 6: Final answer
    x = 3,757.06

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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.