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Finding the Fourth Proportional to 6,178.17, 8,526.69 and 3,788.40

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Solution

The fourth proportional to 6,178.17, 8,526.69 and 3,788.40 is: 5,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.17 : 8,526.69 = 3,788.40 : x
  2. Step 2: Convert to fraction form
    6,178.17/8,526.69 = 3,788.40/x
  3. Step 3: Cross multiply
    6,178.17x = 8,526.69 × 3,788.40
  4. Step 4: Simplify right side
    6,178.17x = 32,302,512.40
  5. Step 5: Solve for x
    x = 32,302,512.40/6,178.17
  6. Step 6: Final answer
    x = 5,228.49

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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.