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Finding the Fourth Proportional to 6,419.81, 8,860.50 and 4,153.94

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Solution

The fourth proportional to 6,419.81, 8,860.50 and 4,153.94 is: 5,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.81 : 8,860.50 = 4,153.94 : x
  2. Step 2: Convert to fraction form
    6,419.81/8,860.50 = 4,153.94/x
  3. Step 3: Cross multiply
    6,419.81x = 8,860.50 × 4,153.94
  4. Step 4: Simplify right side
    6,419.81x = 36,805,985.37
  5. Step 5: Solve for x
    x = 36,805,985.37/6,419.81
  6. Step 6: Final answer
    x = 5,733.19

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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.