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Finding the Fourth Proportional to 4,497.68, 6,745.74 and 2,031.93

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Solution

The fourth proportional to 4,497.68, 6,745.74 and 2,031.93 is: 3,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.68 : 6,745.74 = 2,031.93 : x
  2. Step 2: Convert to fraction form
    4,497.68/6,745.74 = 2,031.93/x
  3. Step 3: Cross multiply
    4,497.68x = 6,745.74 × 2,031.93
  4. Step 4: Simplify right side
    4,497.68x = 13,706,871.48
  5. Step 5: Solve for x
    x = 13,706,871.48/4,497.68
  6. Step 6: Final answer
    x = 3,047.55

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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.