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Finding the Fourth Proportional to 6,457.42, 9,682.23 and 2,898.89

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Solution

The fourth proportional to 6,457.42, 9,682.23 and 2,898.89 is: 4,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.42 : 9,682.23 = 2,898.89 : x
  2. Step 2: Convert to fraction form
    6,457.42/9,682.23 = 2,898.89/x
  3. Step 3: Cross multiply
    6,457.42x = 9,682.23 × 2,898.89
  4. Step 4: Simplify right side
    6,457.42x = 28,067,719.72
  5. Step 5: Solve for x
    x = 28,067,719.72/6,457.42
  6. Step 6: Final answer
    x = 4,346.58

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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.