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Finding the Fourth Proportional to 4,090.29, 6,136.02 and 1,316.04

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Solution

The fourth proportional to 4,090.29, 6,136.02 and 1,316.04 is: 1,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.29 : 6,136.02 = 1,316.04 : x
  2. Step 2: Convert to fraction form
    4,090.29/6,136.02 = 1,316.04/x
  3. Step 3: Cross multiply
    4,090.29x = 6,136.02 × 1,316.04
  4. Step 4: Simplify right side
    4,090.29x = 8,075,242.01
  5. Step 5: Solve for x
    x = 8,075,242.01/4,090.29
  6. Step 6: Final answer
    x = 1,974.25

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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.