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Finding the Fourth Proportional to 4,907.52, 6,728.16 and 4,820.16

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Solution

The fourth proportional to 4,907.52, 6,728.16 and 4,820.16 is: 6,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.52 : 6,728.16 = 4,820.16 : x
  2. Step 2: Convert to fraction form
    4,907.52/6,728.16 = 4,820.16/x
  3. Step 3: Cross multiply
    4,907.52x = 6,728.16 × 4,820.16
  4. Step 4: Simplify right side
    4,907.52x = 32,430,807.71
  5. Step 5: Solve for x
    x = 32,430,807.71/4,907.52
  6. Step 6: Final answer
    x = 6,608.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.