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Finding the Fourth Proportional to 4,674.68, 6,438.52 and 4,045.24

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Solution

The fourth proportional to 4,674.68, 6,438.52 and 4,045.24 is: 5,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.68 : 6,438.52 = 4,045.24 : x
  2. Step 2: Convert to fraction form
    4,674.68/6,438.52 = 4,045.24/x
  3. Step 3: Cross multiply
    4,674.68x = 6,438.52 × 4,045.24
  4. Step 4: Simplify right side
    4,674.68x = 26,045,316.34
  5. Step 5: Solve for x
    x = 26,045,316.34/4,674.68
  6. Step 6: Final answer
    x = 5,571.57

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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.