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Finding the Fourth Proportional to 4,746.06, 7,119.08 and 1,822.32

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Solution

The fourth proportional to 4,746.06, 7,119.08 and 1,822.32 is: 2,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.06 : 7,119.08 = 1,822.32 : x
  2. Step 2: Convert to fraction form
    4,746.06/7,119.08 = 1,822.32/x
  3. Step 3: Cross multiply
    4,746.06x = 7,119.08 × 1,822.32
  4. Step 4: Simplify right side
    4,746.06x = 12,973,241.87
  5. Step 5: Solve for x
    x = 12,973,241.87/4,746.06
  6. Step 6: Final answer
    x = 2,733.48

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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.