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Finding the Fourth Proportional to 5,407.68, 8,111.58 and 1,897.54

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Solution

The fourth proportional to 5,407.68, 8,111.58 and 1,897.54 is: 2,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.68 : 8,111.58 = 1,897.54 : x
  2. Step 2: Convert to fraction form
    5,407.68/8,111.58 = 1,897.54/x
  3. Step 3: Cross multiply
    5,407.68x = 8,111.58 × 1,897.54
  4. Step 4: Simplify right side
    5,407.68x = 15,392,047.51
  5. Step 5: Solve for x
    x = 15,392,047.51/5,407.68
  6. Step 6: Final answer
    x = 2,846.33

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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.