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Finding the Fourth Proportional to 7,740.84, 11,603.37 and 3,054.41

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Solution

The fourth proportional to 7,740.84, 11,603.37 and 3,054.41 is: 4,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.84 : 11,603.37 = 3,054.41 : x
  2. Step 2: Convert to fraction form
    7,740.84/11,603.37 = 3,054.41/x
  3. Step 3: Cross multiply
    7,740.84x = 11,603.37 × 3,054.41
  4. Step 4: Simplify right side
    7,740.84x = 35,441,449.36
  5. Step 5: Solve for x
    x = 35,441,449.36/7,740.84
  6. Step 6: Final answer
    x = 4,578.50

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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.