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Finding the Fourth Proportional to 5,322.41, 7,345.05 and 2,964.50

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Solution

The fourth proportional to 5,322.41, 7,345.05 and 2,964.50 is: 4,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.41 : 7,345.05 = 2,964.50 : x
  2. Step 2: Convert to fraction form
    5,322.41/7,345.05 = 2,964.50/x
  3. Step 3: Cross multiply
    5,322.41x = 7,345.05 × 2,964.50
  4. Step 4: Simplify right side
    5,322.41x = 21,774,400.73
  5. Step 5: Solve for x
    x = 21,774,400.73/5,322.41
  6. Step 6: Final answer
    x = 4,091.08

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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.