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Finding the Fourth Proportional to 6,130.08, 9,180 and 3,525.12

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Solution

The fourth proportional to 6,130.08, 9,180 and 3,525.12 is: 5,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.08 : 9,180 = 3,525.12 : x
  2. Step 2: Convert to fraction form
    6,130.08/9,180 = 3,525.12/x
  3. Step 3: Cross multiply
    6,130.08x = 9,180 × 3,525.12
  4. Step 4: Simplify right side
    6,130.08x = 32,360,601.60
  5. Step 5: Solve for x
    x = 32,360,601.60/6,130.08
  6. Step 6: Final answer
    x = 5,278.99

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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.