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Finding the Fourth Proportional to 5,032.64, 7,550.04 and 1,912.52

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Solution

The fourth proportional to 5,032.64, 7,550.04 and 1,912.52 is: 2,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.64 : 7,550.04 = 1,912.52 : x
  2. Step 2: Convert to fraction form
    5,032.64/7,550.04 = 1,912.52/x
  3. Step 3: Cross multiply
    5,032.64x = 7,550.04 × 1,912.52
  4. Step 4: Simplify right side
    5,032.64x = 14,439,602.50
  5. Step 5: Solve for x
    x = 14,439,602.50/5,032.64
  6. Step 6: Final answer
    x = 2,869.19

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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.