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Finding the Fourth Proportional to 4,596.58, 6,890.82 and 1,674.28

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Solution

The fourth proportional to 4,596.58, 6,890.82 and 1,674.28 is: 2,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.58 : 6,890.82 = 1,674.28 : x
  2. Step 2: Convert to fraction form
    4,596.58/6,890.82 = 1,674.28/x
  3. Step 3: Cross multiply
    4,596.58x = 6,890.82 × 1,674.28
  4. Step 4: Simplify right side
    4,596.58x = 11,537,162.11
  5. Step 5: Solve for x
    x = 11,537,162.11/4,596.58
  6. Step 6: Final answer
    x = 2,509.94

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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.