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Finding the Fourth Proportional to 4,658.60, 6,991.14 and 3,011.06

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Solution

The fourth proportional to 4,658.60, 6,991.14 and 3,011.06 is: 4,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.60 : 6,991.14 = 3,011.06 : x
  2. Step 2: Convert to fraction form
    4,658.60/6,991.14 = 3,011.06/x
  3. Step 3: Cross multiply
    4,658.60x = 6,991.14 × 3,011.06
  4. Step 4: Simplify right side
    4,658.60x = 21,050,770.78
  5. Step 5: Solve for x
    x = 21,050,770.78/4,658.60
  6. Step 6: Final answer
    x = 4,518.69

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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.