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Finding the Fourth Proportional to 4,032.99, 6,049.62 and 1,111.50

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Solution

The fourth proportional to 4,032.99, 6,049.62 and 1,111.50 is: 1,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.99 : 6,049.62 = 1,111.50 : x
  2. Step 2: Convert to fraction form
    4,032.99/6,049.62 = 1,111.50/x
  3. Step 3: Cross multiply
    4,032.99x = 6,049.62 × 1,111.50
  4. Step 4: Simplify right side
    4,032.99x = 6,724,152.63
  5. Step 5: Solve for x
    x = 6,724,152.63/4,032.99
  6. Step 6: Final answer
    x = 1,667.29

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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.