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Finding the Fourth Proportional to 5,703.69, 8,558.54 and 4,048.50

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Solution

The fourth proportional to 5,703.69, 8,558.54 and 4,048.50 is: 6,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.69 : 8,558.54 = 4,048.50 : x
  2. Step 2: Convert to fraction form
    5,703.69/8,558.54 = 4,048.50/x
  3. Step 3: Cross multiply
    5,703.69x = 8,558.54 × 4,048.50
  4. Step 4: Simplify right side
    5,703.69x = 34,649,249.19
  5. Step 5: Solve for x
    x = 34,649,249.19/5,703.69
  6. Step 6: Final answer
    x = 6,074.89

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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.