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Finding the Fourth Proportional to 5,834.40, 8,050.74 and 4,259.76

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Solution

The fourth proportional to 5,834.40, 8,050.74 and 4,259.76 is: 5,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.40 : 8,050.74 = 4,259.76 : x
  2. Step 2: Convert to fraction form
    5,834.40/8,050.74 = 4,259.76/x
  3. Step 3: Cross multiply
    5,834.40x = 8,050.74 × 4,259.76
  4. Step 4: Simplify right side
    5,834.40x = 34,294,220.22
  5. Step 5: Solve for x
    x = 34,294,220.22/5,834.40
  6. Step 6: Final answer
    x = 5,877.93

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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.