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Finding the Fourth Proportional to 5,210.53, 7,818.53 and 3,023.53

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Solution

The fourth proportional to 5,210.53, 7,818.53 and 3,023.53 is: 4,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.53 : 7,818.53 = 3,023.53 : x
  2. Step 2: Convert to fraction form
    5,210.53/7,818.53 = 3,023.53/x
  3. Step 3: Cross multiply
    5,210.53x = 7,818.53 × 3,023.53
  4. Step 4: Simplify right side
    5,210.53x = 23,639,525.35
  5. Step 5: Solve for x
    x = 23,639,525.35/5,210.53
  6. Step 6: Final answer
    x = 4,536.88

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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.