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Finding the Fourth Proportional to 4,394.05, 6,590.84 and 1,106.94

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Solution

The fourth proportional to 4,394.05, 6,590.84 and 1,106.94 is: 1,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.05 : 6,590.84 = 1,106.94 : x
  2. Step 2: Convert to fraction form
    4,394.05/6,590.84 = 1,106.94/x
  3. Step 3: Cross multiply
    4,394.05x = 6,590.84 × 1,106.94
  4. Step 4: Simplify right side
    4,394.05x = 7,295,674.41
  5. Step 5: Solve for x
    x = 7,295,674.41/4,394.05
  6. Step 6: Final answer
    x = 1,660.35

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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.