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Finding the Fourth Proportional to 5,407.41, 8,111.51 and 1,897.03

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Solution

The fourth proportional to 5,407.41, 8,111.51 and 1,897.03 is: 2,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.41 : 8,111.51 = 1,897.03 : x
  2. Step 2: Convert to fraction form
    5,407.41/8,111.51 = 1,897.03/x
  3. Step 3: Cross multiply
    5,407.41x = 8,111.51 × 1,897.03
  4. Step 4: Simplify right side
    5,407.41x = 15,387,777.82
  5. Step 5: Solve for x
    x = 15,387,777.82/5,407.41
  6. Step 6: Final answer
    x = 2,845.68

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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.