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Finding the Fourth Proportional to 5,842.19, 8,053.85 and 3,602.57

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Solution

The fourth proportional to 5,842.19, 8,053.85 and 3,602.57 is: 4,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.19 : 8,053.85 = 3,602.57 : x
  2. Step 2: Convert to fraction form
    5,842.19/8,053.85 = 3,602.57/x
  3. Step 3: Cross multiply
    5,842.19x = 8,053.85 × 3,602.57
  4. Step 4: Simplify right side
    5,842.19x = 29,014,527.13
  5. Step 5: Solve for x
    x = 29,014,527.13/5,842.19
  6. Step 6: Final answer
    x = 4,966.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.