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Finding the Fourth Proportional to 4,658.81, 6,988.63 and 1,196.06

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Solution

The fourth proportional to 4,658.81, 6,988.63 and 1,196.06 is: 1,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.81 : 6,988.63 = 1,196.06 : x
  2. Step 2: Convert to fraction form
    4,658.81/6,988.63 = 1,196.06/x
  3. Step 3: Cross multiply
    4,658.81x = 6,988.63 × 1,196.06
  4. Step 4: Simplify right side
    4,658.81x = 8,358,835.28
  5. Step 5: Solve for x
    x = 8,358,835.28/4,658.81
  6. Step 6: Final answer
    x = 1,794.20

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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.