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Finding the Fourth Proportional to 6,897.89, 10,339.58 and 2,897.54

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Solution

The fourth proportional to 6,897.89, 10,339.58 and 2,897.54 is: 4,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.89 : 10,339.58 = 2,897.54 : x
  2. Step 2: Convert to fraction form
    6,897.89/10,339.58 = 2,897.54/x
  3. Step 3: Cross multiply
    6,897.89x = 10,339.58 × 2,897.54
  4. Step 4: Simplify right side
    6,897.89x = 29,959,340.95
  5. Step 5: Solve for x
    x = 29,959,340.95/6,897.89
  6. Step 6: Final answer
    x = 4,343.26

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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.