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Finding the Fourth Proportional to 5,322.98, 7,346.38 and 3,055.16

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Solution

The fourth proportional to 5,322.98, 7,346.38 and 3,055.16 is: 4,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.98 : 7,346.38 = 3,055.16 : x
  2. Step 2: Convert to fraction form
    5,322.98/7,346.38 = 3,055.16/x
  3. Step 3: Cross multiply
    5,322.98x = 7,346.38 × 3,055.16
  4. Step 4: Simplify right side
    5,322.98x = 22,444,366.32
  5. Step 5: Solve for x
    x = 22,444,366.32/5,322.98
  6. Step 6: Final answer
    x = 4,216.50

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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.