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Finding the Fourth Proportional to 3,648.36, 5,473.35 and 1,182.72

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Solution

The fourth proportional to 3,648.36, 5,473.35 and 1,182.72 is: 1,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.36 : 5,473.35 = 1,182.72 : x
  2. Step 2: Convert to fraction form
    3,648.36/5,473.35 = 1,182.72/x
  3. Step 3: Cross multiply
    3,648.36x = 5,473.35 × 1,182.72
  4. Step 4: Simplify right side
    3,648.36x = 6,473,440.51
  5. Step 5: Solve for x
    x = 6,473,440.51/3,648.36
  6. Step 6: Final answer
    x = 1,774.34

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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.