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Finding the Fourth Proportional to 4,122.41, 5,688.93 and 2,259.41

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Solution

The fourth proportional to 4,122.41, 5,688.93 and 2,259.41 is: 3,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.41 : 5,688.93 = 2,259.41 : x
  2. Step 2: Convert to fraction form
    4,122.41/5,688.93 = 2,259.41/x
  3. Step 3: Cross multiply
    4,122.41x = 5,688.93 × 2,259.41
  4. Step 4: Simplify right side
    4,122.41x = 12,853,596.89
  5. Step 5: Solve for x
    x = 12,853,596.89/4,122.41
  6. Step 6: Final answer
    x = 3,117.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.