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Finding the Fourth Proportional to 5,004.60, 7,509.60 and 2,083.20

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Solution

The fourth proportional to 5,004.60, 7,509.60 and 2,083.20 is: 3,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.60 : 7,509.60 = 2,083.20 : x
  2. Step 2: Convert to fraction form
    5,004.60/7,509.60 = 2,083.20/x
  3. Step 3: Cross multiply
    5,004.60x = 7,509.60 × 2,083.20
  4. Step 4: Simplify right side
    5,004.60x = 15,643,998.72
  5. Step 5: Solve for x
    x = 15,643,998.72/5,004.60
  6. Step 6: Final answer
    x = 3,125.92

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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.