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Finding the Fourth Proportional to 4,993.58, 7,491.14 and 1,705.90

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Solution

The fourth proportional to 4,993.58, 7,491.14 and 1,705.90 is: 2,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.58 : 7,491.14 = 1,705.90 : x
  2. Step 2: Convert to fraction form
    4,993.58/7,491.14 = 1,705.90/x
  3. Step 3: Cross multiply
    4,993.58x = 7,491.14 × 1,705.90
  4. Step 4: Simplify right side
    4,993.58x = 12,779,135.73
  5. Step 5: Solve for x
    x = 12,779,135.73/4,993.58
  6. Step 6: Final answer
    x = 2,559.11

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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.