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Finding the Fourth Proportional to 5,812.98, 8,703.50 and 4,059.74

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Solution

The fourth proportional to 5,812.98, 8,703.50 and 4,059.74 is: 6,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.98 : 8,703.50 = 4,059.74 : x
  2. Step 2: Convert to fraction form
    5,812.98/8,703.50 = 4,059.74/x
  3. Step 3: Cross multiply
    5,812.98x = 8,703.50 × 4,059.74
  4. Step 4: Simplify right side
    5,812.98x = 35,333,883.27
  5. Step 5: Solve for x
    x = 35,333,883.27/5,812.98
  6. Step 6: Final answer
    x = 6,078.45

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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.