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Finding the Fourth Proportional to 4,706.62, 7,065.03 and 3,539.95

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Solution

The fourth proportional to 4,706.62, 7,065.03 and 3,539.95 is: 5,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.62 : 7,065.03 = 3,539.95 : x
  2. Step 2: Convert to fraction form
    4,706.62/7,065.03 = 3,539.95/x
  3. Step 3: Cross multiply
    4,706.62x = 7,065.03 × 3,539.95
  4. Step 4: Simplify right side
    4,706.62x = 25,009,852.95
  5. Step 5: Solve for x
    x = 25,009,852.95/4,706.62
  6. Step 6: Final answer
    x = 5,313.76

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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.