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Finding the Fourth Proportional to 4,670.96, 7,006.28 and 1,897.56

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Solution

The fourth proportional to 4,670.96, 7,006.28 and 1,897.56 is: 2,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.96 : 7,006.28 = 1,897.56 : x
  2. Step 2: Convert to fraction form
    4,670.96/7,006.28 = 1,897.56/x
  3. Step 3: Cross multiply
    4,670.96x = 7,006.28 × 1,897.56
  4. Step 4: Simplify right side
    4,670.96x = 13,294,836.68
  5. Step 5: Solve for x
    x = 13,294,836.68/4,670.96
  6. Step 6: Final answer
    x = 2,846.28

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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.