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Finding the Fourth Proportional to 4,618.42, 6,927.58 and 1,155.67

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Solution

The fourth proportional to 4,618.42, 6,927.58 and 1,155.67 is: 1,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.42 : 6,927.58 = 1,155.67 : x
  2. Step 2: Convert to fraction form
    4,618.42/6,927.58 = 1,155.67/x
  3. Step 3: Cross multiply
    4,618.42x = 6,927.58 × 1,155.67
  4. Step 4: Simplify right side
    4,618.42x = 8,005,996.38
  5. Step 5: Solve for x
    x = 8,005,996.38/4,618.42
  6. Step 6: Final answer
    x = 1,733.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.