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Finding the Fourth Proportional to 4,696.37, 7,045.63 and 1,409.52

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Solution

The fourth proportional to 4,696.37, 7,045.63 and 1,409.52 is: 2,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.37 : 7,045.63 = 1,409.52 : x
  2. Step 2: Convert to fraction form
    4,696.37/7,045.63 = 1,409.52/x
  3. Step 3: Cross multiply
    4,696.37x = 7,045.63 × 1,409.52
  4. Step 4: Simplify right side
    4,696.37x = 9,930,952.87
  5. Step 5: Solve for x
    x = 9,930,952.87/4,696.37
  6. Step 6: Final answer
    x = 2,114.60

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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.