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Finding the Fourth Proportional to 4,982.54, 7,473.53 and 1,284.95

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Solution

The fourth proportional to 4,982.54, 7,473.53 and 1,284.95 is: 1,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.54 : 7,473.53 = 1,284.95 : x
  2. Step 2: Convert to fraction form
    4,982.54/7,473.53 = 1,284.95/x
  3. Step 3: Cross multiply
    4,982.54x = 7,473.53 × 1,284.95
  4. Step 4: Simplify right side
    4,982.54x = 9,603,068.58
  5. Step 5: Solve for x
    x = 9,603,068.58/4,982.54
  6. Step 6: Final answer
    x = 1,927.35

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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.