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Finding the Fourth Proportional to 4,516.48, 6,756 and 4,240

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Solution

The fourth proportional to 4,516.48, 6,756 and 4,240 is: 6,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.48 : 6,756 = 4,240 : x
  2. Step 2: Convert to fraction form
    4,516.48/6,756 = 4,240/x
  3. Step 3: Cross multiply
    4,516.48x = 6,756 × 4,240
  4. Step 4: Simplify right side
    4,516.48x = 28,645,440
  5. Step 5: Solve for x
    x = 28,645,440/4,516.48
  6. Step 6: Final answer
    x = 6,342.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.