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Finding the Fourth Proportional to 4,658.45, 6,988.64 and 1,371.24

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Solution

The fourth proportional to 4,658.45, 6,988.64 and 1,371.24 is: 2,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.45 : 6,988.64 = 1,371.24 : x
  2. Step 2: Convert to fraction form
    4,658.45/6,988.64 = 1,371.24/x
  3. Step 3: Cross multiply
    4,658.45x = 6,988.64 × 1,371.24
  4. Step 4: Simplify right side
    4,658.45x = 9,583,095.86
  5. Step 5: Solve for x
    x = 9,583,095.86/4,658.45
  6. Step 6: Final answer
    x = 2,057.14

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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.