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Finding the Fourth Proportional to 5,897.76, 8,846.56 and 2,004.88

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Solution

The fourth proportional to 5,897.76, 8,846.56 and 2,004.88 is: 3,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.76 : 8,846.56 = 2,004.88 : x
  2. Step 2: Convert to fraction form
    5,897.76/8,846.56 = 2,004.88/x
  3. Step 3: Cross multiply
    5,897.76x = 8,846.56 × 2,004.88
  4. Step 4: Simplify right side
    5,897.76x = 17,736,291.21
  5. Step 5: Solve for x
    x = 17,736,291.21/5,897.76
  6. Step 6: Final answer
    x = 3,007.29

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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.