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Finding the Fourth Proportional to 3,000.34, 4,497.77 and 1,051.48

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Solution

The fourth proportional to 3,000.34, 4,497.77 and 1,051.48 is: 1,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.34 : 4,497.77 = 1,051.48 : x
  2. Step 2: Convert to fraction form
    3,000.34/4,497.77 = 1,051.48/x
  3. Step 3: Cross multiply
    3,000.34x = 4,497.77 × 1,051.48
  4. Step 4: Simplify right side
    3,000.34x = 4,729,323.45
  5. Step 5: Solve for x
    x = 4,729,323.45/3,000.34
  6. Step 6: Final answer
    x = 1,576.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.