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Finding the Fourth Proportional to 3,606.36, 5,407.47 and 1,412.52

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Solution

The fourth proportional to 3,606.36, 5,407.47 and 1,412.52 is: 2,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.36 : 5,407.47 = 1,412.52 : x
  2. Step 2: Convert to fraction form
    3,606.36/5,407.47 = 1,412.52/x
  3. Step 3: Cross multiply
    3,606.36x = 5,407.47 × 1,412.52
  4. Step 4: Simplify right side
    3,606.36x = 7,638,159.52
  5. Step 5: Solve for x
    x = 7,638,159.52/3,606.36
  6. Step 6: Final answer
    x = 2,117.97

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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.