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Finding the Fourth Proportional to 6,178.78, 8,526.72 and 3,526.13

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Solution

The fourth proportional to 6,178.78, 8,526.72 and 3,526.13 is: 4,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.78 : 8,526.72 = 3,526.13 : x
  2. Step 2: Convert to fraction form
    6,178.78/8,526.72 = 3,526.13/x
  3. Step 3: Cross multiply
    6,178.78x = 8,526.72 × 3,526.13
  4. Step 4: Simplify right side
    6,178.78x = 30,066,337.90
  5. Step 5: Solve for x
    x = 30,066,337.90/6,178.78
  6. Step 6: Final answer
    x = 4,866.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.