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Finding the Fourth Proportional to 4,564.84, 6,853.74 and 4,356.04

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Solution

The fourth proportional to 4,564.84, 6,853.74 and 4,356.04 is: 6,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.84 : 6,853.74 = 4,356.04 : x
  2. Step 2: Convert to fraction form
    4,564.84/6,853.74 = 4,356.04/x
  3. Step 3: Cross multiply
    4,564.84x = 6,853.74 × 4,356.04
  4. Step 4: Simplify right side
    4,564.84x = 29,855,165.59
  5. Step 5: Solve for x
    x = 29,855,165.59/4,564.84
  6. Step 6: Final answer
    x = 6,540.24

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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.