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Finding the Fourth Proportional to 4,314.92, 6,475.22 and 2,368.48

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Solution

The fourth proportional to 4,314.92, 6,475.22 and 2,368.48 is: 3,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.92 : 6,475.22 = 2,368.48 : x
  2. Step 2: Convert to fraction form
    4,314.92/6,475.22 = 2,368.48/x
  3. Step 3: Cross multiply
    4,314.92x = 6,475.22 × 2,368.48
  4. Step 4: Simplify right side
    4,314.92x = 15,336,429.07
  5. Step 5: Solve for x
    x = 15,336,429.07/4,314.92
  6. Step 6: Final answer
    x = 3,554.28

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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.