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Finding the Fourth Proportional to 4,696.29, 7,045.52 and 1,409.72

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Solution

The fourth proportional to 4,696.29, 7,045.52 and 1,409.72 is: 2,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.29 : 7,045.52 = 1,409.72 : x
  2. Step 2: Convert to fraction form
    4,696.29/7,045.52 = 1,409.72/x
  3. Step 3: Cross multiply
    4,696.29x = 7,045.52 × 1,409.72
  4. Step 4: Simplify right side
    4,696.29x = 9,932,168.18
  5. Step 5: Solve for x
    x = 9,932,168.18/4,696.29
  6. Step 6: Final answer
    x = 2,114.90

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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.