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Finding the Fourth Proportional to 6,038.82, 9,057.18 and 1,596.52

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Solution

The fourth proportional to 6,038.82, 9,057.18 and 1,596.52 is: 2,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.82 : 9,057.18 = 1,596.52 : x
  2. Step 2: Convert to fraction form
    6,038.82/9,057.18 = 1,596.52/x
  3. Step 3: Cross multiply
    6,038.82x = 9,057.18 × 1,596.52
  4. Step 4: Simplify right side
    6,038.82x = 14,459,969.01
  5. Step 5: Solve for x
    x = 14,459,969.01/6,038.82
  6. Step 6: Final answer
    x = 2,394.50

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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.