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Finding the Fourth Proportional to 4,699.74, 7,050.60 and 1,777.98

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Solution

The fourth proportional to 4,699.74, 7,050.60 and 1,777.98 is: 2,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.74 : 7,050.60 = 1,777.98 : x
  2. Step 2: Convert to fraction form
    4,699.74/7,050.60 = 1,777.98/x
  3. Step 3: Cross multiply
    4,699.74x = 7,050.60 × 1,777.98
  4. Step 4: Simplify right side
    4,699.74x = 12,535,825.79
  5. Step 5: Solve for x
    x = 12,535,825.79/4,699.74
  6. Step 6: Final answer
    x = 2,667.34

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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.