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Finding the Fourth Proportional to 5,970.08, 8,911.30 and 5,530.25

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Solution

The fourth proportional to 5,970.08, 8,911.30 and 5,530.25 is: 8,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.08 : 8,911.30 = 5,530.25 : x
  2. Step 2: Convert to fraction form
    5,970.08/8,911.30 = 5,530.25/x
  3. Step 3: Cross multiply
    5,970.08x = 8,911.30 × 5,530.25
  4. Step 4: Simplify right side
    5,970.08x = 49,281,716.83
  5. Step 5: Solve for x
    x = 49,281,716.83/5,970.08
  6. Step 6: Final answer
    x = 8,254.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.