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Finding the Fourth Proportional to 4,668.48, 6,442.25 and 2,900.07

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Solution

The fourth proportional to 4,668.48, 6,442.25 and 2,900.07 is: 4,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.48 : 6,442.25 = 2,900.07 : x
  2. Step 2: Convert to fraction form
    4,668.48/6,442.25 = 2,900.07/x
  3. Step 3: Cross multiply
    4,668.48x = 6,442.25 × 2,900.07
  4. Step 4: Simplify right side
    4,668.48x = 18,682,961.46
  5. Step 5: Solve for x
    x = 18,682,961.46/4,668.48
  6. Step 6: Final answer
    x = 4,001.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.