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Finding the Fourth Proportional to 4,658.40, 6,981.60 and 2,059.20

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Solution

The fourth proportional to 4,658.40, 6,981.60 and 2,059.20 is: 3,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.40 : 6,981.60 = 2,059.20 : x
  2. Step 2: Convert to fraction form
    4,658.40/6,981.60 = 2,059.20/x
  3. Step 3: Cross multiply
    4,658.40x = 6,981.60 × 2,059.20
  4. Step 4: Simplify right side
    4,658.40x = 14,376,510.72
  5. Step 5: Solve for x
    x = 14,376,510.72/4,658.40
  6. Step 6: Final answer
    x = 3,086.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.