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Finding the Fourth Proportional to 6,178.08, 8,526.57 and 3,526.02

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Solution

The fourth proportional to 6,178.08, 8,526.57 and 3,526.02 is: 4,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.08 : 8,526.57 = 3,526.02 : x
  2. Step 2: Convert to fraction form
    6,178.08/8,526.57 = 3,526.02/x
  3. Step 3: Cross multiply
    6,178.08x = 8,526.57 × 3,526.02
  4. Step 4: Simplify right side
    6,178.08x = 30,064,856.35
  5. Step 5: Solve for x
    x = 30,064,856.35/6,178.08
  6. Step 6: Final answer
    x = 4,866.38

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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.