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Finding the Fourth Proportional to 4,600.99, 6,897.84 and 4,287.52

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Solution

The fourth proportional to 4,600.99, 6,897.84 and 4,287.52 is: 6,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.99 : 6,897.84 = 4,287.52 : x
  2. Step 2: Convert to fraction form
    4,600.99/6,897.84 = 4,287.52/x
  3. Step 3: Cross multiply
    4,600.99x = 6,897.84 × 4,287.52
  4. Step 4: Simplify right side
    4,600.99x = 29,574,626.96
  5. Step 5: Solve for x
    x = 29,574,626.96/4,600.99
  6. Step 6: Final answer
    x = 6,427.88

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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.