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Finding the Fourth Proportional to 4,658.40, 6,428.40 and 2,977.44

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Solution

The fourth proportional to 4,658.40, 6,428.40 and 2,977.44 is: 4,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.40 : 6,428.40 = 2,977.44 : x
  2. Step 2: Convert to fraction form
    4,658.40/6,428.40 = 2,977.44/x
  3. Step 3: Cross multiply
    4,658.40x = 6,428.40 × 2,977.44
  4. Step 4: Simplify right side
    4,658.40x = 19,140,175.30
  5. Step 5: Solve for x
    x = 19,140,175.30/4,658.40
  6. Step 6: Final answer
    x = 4,108.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.