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Finding the Fourth Proportional to 6,146.72, 8,482.14 and 3,493.76

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Solution

The fourth proportional to 6,146.72, 8,482.14 and 3,493.76 is: 4,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.72 : 8,482.14 = 3,493.76 : x
  2. Step 2: Convert to fraction form
    6,146.72/8,482.14 = 3,493.76/x
  3. Step 3: Cross multiply
    6,146.72x = 8,482.14 × 3,493.76
  4. Step 4: Simplify right side
    6,146.72x = 29,634,561.45
  5. Step 5: Solve for x
    x = 29,634,561.45/6,146.72
  6. Step 6: Final answer
    x = 4,821.20

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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.