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Finding the Fourth Proportional to 4,696.16, 7,044.26 and 1,409.27

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Solution

The fourth proportional to 4,696.16, 7,044.26 and 1,409.27 is: 2,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.16 : 7,044.26 = 1,409.27 : x
  2. Step 2: Convert to fraction form
    4,696.16/7,044.26 = 1,409.27/x
  3. Step 3: Cross multiply
    4,696.16x = 7,044.26 × 1,409.27
  4. Step 4: Simplify right side
    4,696.16x = 9,927,222.02
  5. Step 5: Solve for x
    x = 9,927,222.02/4,696.16
  6. Step 6: Final answer
    x = 2,113.90

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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.