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Finding the Fourth Proportional to 5,483, 8,224.50 and 1,835

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Solution

The fourth proportional to 5,483, 8,224.50 and 1,835 is: 2,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483 : 8,224.50 = 1,835 : x
  2. Step 2: Convert to fraction form
    5,483/8,224.50 = 1,835/x
  3. Step 3: Cross multiply
    5,483x = 8,224.50 × 1,835
  4. Step 4: Simplify right side
    5,483x = 15,091,957.50
  5. Step 5: Solve for x
    x = 15,091,957.50/5,483
  6. Step 6: Final answer
    x = 2,752.50

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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.