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Finding the Fourth Proportional to 5,629.50, 8,444.28 and 1,525.50

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Solution

The fourth proportional to 5,629.50, 8,444.28 and 1,525.50 is: 2,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.50 : 8,444.28 = 1,525.50 : x
  2. Step 2: Convert to fraction form
    5,629.50/8,444.28 = 1,525.50/x
  3. Step 3: Cross multiply
    5,629.50x = 8,444.28 × 1,525.50
  4. Step 4: Simplify right side
    5,629.50x = 12,881,749.14
  5. Step 5: Solve for x
    x = 12,881,749.14/5,629.50
  6. Step 6: Final answer
    x = 2,288.26

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1.5x scale

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.