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Finding the Fourth Proportional to 5,583.69, 7,705.80 and 3,347.15

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Solution

The fourth proportional to 5,583.69, 7,705.80 and 3,347.15 is: 4,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.69 : 7,705.80 = 3,347.15 : x
  2. Step 2: Convert to fraction form
    5,583.69/7,705.80 = 3,347.15/x
  3. Step 3: Cross multiply
    5,583.69x = 7,705.80 × 3,347.15
  4. Step 4: Simplify right side
    5,583.69x = 25,792,429.94
  5. Step 5: Solve for x
    x = 25,792,429.94/5,583.69
  6. Step 6: Final answer
    x = 4,619.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.