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Finding the Fourth Proportional to 5,376.09, 7,417.70 and 3,136.69

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Solution

The fourth proportional to 5,376.09, 7,417.70 and 3,136.69 is: 4,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.09 : 7,417.70 = 3,136.69 : x
  2. Step 2: Convert to fraction form
    5,376.09/7,417.70 = 3,136.69/x
  3. Step 3: Cross multiply
    5,376.09x = 7,417.70 × 3,136.69
  4. Step 4: Simplify right side
    5,376.09x = 23,266,988.32
  5. Step 5: Solve for x
    x = 23,266,988.32/5,376.09
  6. Step 6: Final answer
    x = 4,327.86

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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.