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Finding the Fourth Proportional to 4,685.28, 6,474.26 and 4,457.55

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Solution

The fourth proportional to 4,685.28, 6,474.26 and 4,457.55 is: 6,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.28 : 6,474.26 = 4,457.55 : x
  2. Step 2: Convert to fraction form
    4,685.28/6,474.26 = 4,457.55/x
  3. Step 3: Cross multiply
    4,685.28x = 6,474.26 × 4,457.55
  4. Step 4: Simplify right side
    4,685.28x = 28,859,315.38
  5. Step 5: Solve for x
    x = 28,859,315.38/4,685.28
  6. Step 6: Final answer
    x = 6,159.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.