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Finding the Fourth Proportional to 5,043.86, 7,566.85 and 1,533.65

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Solution

The fourth proportional to 5,043.86, 7,566.85 and 1,533.65 is: 2,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.86 : 7,566.85 = 1,533.65 : x
  2. Step 2: Convert to fraction form
    5,043.86/7,566.85 = 1,533.65/x
  3. Step 3: Cross multiply
    5,043.86x = 7,566.85 × 1,533.65
  4. Step 4: Simplify right side
    5,043.86x = 11,604,899.50
  5. Step 5: Solve for x
    x = 11,604,899.50/5,043.86
  6. Step 6: Final answer
    x = 2,300.80

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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.