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Finding the Fourth Proportional to 4,658.39, 6,987.50 and 1,884.95

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Solution

The fourth proportional to 4,658.39, 6,987.50 and 1,884.95 is: 2,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.39 : 6,987.50 = 1,884.95 : x
  2. Step 2: Convert to fraction form
    4,658.39/6,987.50 = 1,884.95/x
  3. Step 3: Cross multiply
    4,658.39x = 6,987.50 × 1,884.95
  4. Step 4: Simplify right side
    4,658.39x = 13,171,078.70
  5. Step 5: Solve for x
    x = 13,171,078.70/4,658.39
  6. Step 6: Final answer
    x = 2,827.39

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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.