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Finding the Fourth Proportional to 4,609.37, 6,914.09 and 1,146.62

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Solution

The fourth proportional to 4,609.37, 6,914.09 and 1,146.62 is: 1,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.37 : 6,914.09 = 1,146.62 : x
  2. Step 2: Convert to fraction form
    4,609.37/6,914.09 = 1,146.62/x
  3. Step 3: Cross multiply
    4,609.37x = 6,914.09 × 1,146.62
  4. Step 4: Simplify right side
    4,609.37x = 7,927,802.17
  5. Step 5: Solve for x
    x = 7,927,802.17/4,609.37
  6. Step 6: Final answer
    x = 1,719.93

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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.