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Finding the Fourth Proportional to 4,658.21, 6,987.65 and 1,736.50

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Solution

The fourth proportional to 4,658.21, 6,987.65 and 1,736.50 is: 2,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.21 : 6,987.65 = 1,736.50 : x
  2. Step 2: Convert to fraction form
    4,658.21/6,987.65 = 1,736.50/x
  3. Step 3: Cross multiply
    4,658.21x = 6,987.65 × 1,736.50
  4. Step 4: Simplify right side
    4,658.21x = 12,134,054.23
  5. Step 5: Solve for x
    x = 12,134,054.23/4,658.21
  6. Step 6: Final answer
    x = 2,604.87

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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.