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Finding the Fourth Proportional to 4,505.20, 6,292.70 and 4,505.20

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Solution

The fourth proportional to 4,505.20, 6,292.70 and 4,505.20 is: 6,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.20 : 6,292.70 = 4,505.20 : x
  2. Step 2: Convert to fraction form
    4,505.20/6,292.70 = 4,505.20/x
  3. Step 3: Cross multiply
    4,505.20x = 6,292.70 × 4,505.20
  4. Step 4: Simplify right side
    4,505.20x = 28,349,872.04
  5. Step 5: Solve for x
    x = 28,349,872.04/4,505.20
  6. Step 6: Final answer
    x = 6,292.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.