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Finding the Fourth Proportional to 5,752.17, 8,633.12 and 2,980.53

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Solution

The fourth proportional to 5,752.17, 8,633.12 and 2,980.53 is: 4,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.17 : 8,633.12 = 2,980.53 : x
  2. Step 2: Convert to fraction form
    5,752.17/8,633.12 = 2,980.53/x
  3. Step 3: Cross multiply
    5,752.17x = 8,633.12 × 2,980.53
  4. Step 4: Simplify right side
    5,752.17x = 25,731,258.25
  5. Step 5: Solve for x
    x = 25,731,258.25/5,752.17
  6. Step 6: Final answer
    x = 4,473.31

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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.