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Finding the Fourth Proportional to 4,314.59, 6,465.92 and 1,968.87

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Solution

The fourth proportional to 4,314.59, 6,465.92 and 1,968.87 is: 2,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.59 : 6,465.92 = 1,968.87 : x
  2. Step 2: Convert to fraction form
    4,314.59/6,465.92 = 1,968.87/x
  3. Step 3: Cross multiply
    4,314.59x = 6,465.92 × 1,968.87
  4. Step 4: Simplify right side
    4,314.59x = 12,730,546.07
  5. Step 5: Solve for x
    x = 12,730,546.07/4,314.59
  6. Step 6: Final answer
    x = 2,950.58

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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.