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Finding the Fourth Proportional to 4,899.03, 7,345.34 and 1,778.44

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Solution

The fourth proportional to 4,899.03, 7,345.34 and 1,778.44 is: 2,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.03 : 7,345.34 = 1,778.44 : x
  2. Step 2: Convert to fraction form
    4,899.03/7,345.34 = 1,778.44/x
  3. Step 3: Cross multiply
    4,899.03x = 7,345.34 × 1,778.44
  4. Step 4: Simplify right side
    4,899.03x = 13,063,246.47
  5. Step 5: Solve for x
    x = 13,063,246.47/4,899.03
  6. Step 6: Final answer
    x = 2,666.50

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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.