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Finding the Fourth Proportional to 4,571.16, 6,320.62 and 4,497

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Solution

The fourth proportional to 4,571.16, 6,320.62 and 4,497 is: 6,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.16 : 6,320.62 = 4,497 : x
  2. Step 2: Convert to fraction form
    4,571.16/6,320.62 = 4,497/x
  3. Step 3: Cross multiply
    4,571.16x = 6,320.62 × 4,497
  4. Step 4: Simplify right side
    4,571.16x = 28,423,828.14
  5. Step 5: Solve for x
    x = 28,423,828.14/4,571.16
  6. Step 6: Final answer
    x = 6,218.08

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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.