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Finding the Fourth Proportional to 4,737.69, 7,106.67 and 3,655.26

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Solution

The fourth proportional to 4,737.69, 7,106.67 and 3,655.26 is: 5,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.69 : 7,106.67 = 3,655.26 : x
  2. Step 2: Convert to fraction form
    4,737.69/7,106.67 = 3,655.26/x
  3. Step 3: Cross multiply
    4,737.69x = 7,106.67 × 3,655.26
  4. Step 4: Simplify right side
    4,737.69x = 25,976,726.58
  5. Step 5: Solve for x
    x = 25,976,726.58/4,737.69
  6. Step 6: Final answer
    x = 5,482.99

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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.