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Finding the Fourth Proportional to 5,206.58, 7,181.97 and 4,506.74

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Solution

The fourth proportional to 5,206.58, 7,181.97 and 4,506.74 is: 6,216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.58 : 7,181.97 = 4,506.74 : x
  2. Step 2: Convert to fraction form
    5,206.58/7,181.97 = 4,506.74/x
  3. Step 3: Cross multiply
    5,206.58x = 7,181.97 × 4,506.74
  4. Step 4: Simplify right side
    5,206.58x = 32,367,271.48
  5. Step 5: Solve for x
    x = 32,367,271.48/5,206.58
  6. Step 6: Final answer
    x = 6,216.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.