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Finding the Fourth Proportional to 4,572.66, 6,310.32 and 2,583.24

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Solution

The fourth proportional to 4,572.66, 6,310.32 and 2,583.24 is: 3,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.66 : 6,310.32 = 2,583.24 : x
  2. Step 2: Convert to fraction form
    4,572.66/6,310.32 = 2,583.24/x
  3. Step 3: Cross multiply
    4,572.66x = 6,310.32 × 2,583.24
  4. Step 4: Simplify right side
    4,572.66x = 16,301,071.04
  5. Step 5: Solve for x
    x = 16,301,071.04/4,572.66
  6. Step 6: Final answer
    x = 3,564.90

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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.