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Finding the Fourth Proportional to 4,674.47, 7,004.61 and 3,435.98

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Solution

The fourth proportional to 4,674.47, 7,004.61 and 3,435.98 is: 5,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.47 : 7,004.61 = 3,435.98 : x
  2. Step 2: Convert to fraction form
    4,674.47/7,004.61 = 3,435.98/x
  3. Step 3: Cross multiply
    4,674.47x = 7,004.61 × 3,435.98
  4. Step 4: Simplify right side
    4,674.47x = 24,067,699.87
  5. Step 5: Solve for x
    x = 24,067,699.87/4,674.47
  6. Step 6: Final answer
    x = 5,148.75

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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.