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Finding the Fourth Proportional to 5,618.96, 8,427.69 and 1,670.14

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Solution

The fourth proportional to 5,618.96, 8,427.69 and 1,670.14 is: 2,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.96 : 8,427.69 = 1,670.14 : x
  2. Step 2: Convert to fraction form
    5,618.96/8,427.69 = 1,670.14/x
  3. Step 3: Cross multiply
    5,618.96x = 8,427.69 × 1,670.14
  4. Step 4: Simplify right side
    5,618.96x = 14,075,423.29
  5. Step 5: Solve for x
    x = 14,075,423.29/5,618.96
  6. Step 6: Final answer
    x = 2,504.99

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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.