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Finding the Fourth Proportional to 6,071.40, 8,378.50 and 3,419.65

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Solution

The fourth proportional to 6,071.40, 8,378.50 and 3,419.65 is: 4,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.40 : 8,378.50 = 3,419.65 : x
  2. Step 2: Convert to fraction form
    6,071.40/8,378.50 = 3,419.65/x
  3. Step 3: Cross multiply
    6,071.40x = 8,378.50 × 3,419.65
  4. Step 4: Simplify right side
    6,071.40x = 28,651,537.53
  5. Step 5: Solve for x
    x = 28,651,537.53/6,071.40
  6. Step 6: Final answer
    x = 4,719.10

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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.