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Finding the Fourth Proportional to 6,182.08, 8,532.10 and 3,530.02

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Solution

The fourth proportional to 6,182.08, 8,532.10 and 3,530.02 is: 4,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.08 : 8,532.10 = 3,530.02 : x
  2. Step 2: Convert to fraction form
    6,182.08/8,532.10 = 3,530.02/x
  3. Step 3: Cross multiply
    6,182.08x = 8,532.10 × 3,530.02
  4. Step 4: Simplify right side
    6,182.08x = 30,118,483.64
  5. Step 5: Solve for x
    x = 30,118,483.64/6,182.08
  6. Step 6: Final answer
    x = 4,871.90

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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.