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Finding the Fourth Proportional to 5,752.66, 8,629 and 2,465.50

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Solution

The fourth proportional to 5,752.66, 8,629 and 2,465.50 is: 3,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.66 : 8,629 = 2,465.50 : x
  2. Step 2: Convert to fraction form
    5,752.66/8,629 = 2,465.50/x
  3. Step 3: Cross multiply
    5,752.66x = 8,629 × 2,465.50
  4. Step 4: Simplify right side
    5,752.66x = 21,274,799.50
  5. Step 5: Solve for x
    x = 21,274,799.50/5,752.66
  6. Step 6: Final answer
    x = 3,698.25

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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.