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Finding the Fourth Proportional to 4,473.36, 6,705.18 and 2,160

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Solution

The fourth proportional to 4,473.36, 6,705.18 and 2,160 is: 3,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.36 : 6,705.18 = 2,160 : x
  2. Step 2: Convert to fraction form
    4,473.36/6,705.18 = 2,160/x
  3. Step 3: Cross multiply
    4,473.36x = 6,705.18 × 2,160
  4. Step 4: Simplify right side
    4,473.36x = 14,483,188.80
  5. Step 5: Solve for x
    x = 14,483,188.80/4,473.36
  6. Step 6: Final answer
    x = 3,237.65

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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.