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Finding the Fourth Proportional to 3,681.12, 5,077.80 and 3,010.08

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Solution

The fourth proportional to 3,681.12, 5,077.80 and 3,010.08 is: 4,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.12 : 5,077.80 = 3,010.08 : x
  2. Step 2: Convert to fraction form
    3,681.12/5,077.80 = 3,010.08/x
  3. Step 3: Cross multiply
    3,681.12x = 5,077.80 × 3,010.08
  4. Step 4: Simplify right side
    3,681.12x = 15,284,584.22
  5. Step 5: Solve for x
    x = 15,284,584.22/3,681.12
  6. Step 6: Final answer
    x = 4,152.16

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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.