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Finding the Fourth Proportional to 3,490.14, 5,235.70 and 1,024.60

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Solution

The fourth proportional to 3,490.14, 5,235.70 and 1,024.60 is: 1,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.14 : 5,235.70 = 1,024.60 : x
  2. Step 2: Convert to fraction form
    3,490.14/5,235.70 = 1,024.60/x
  3. Step 3: Cross multiply
    3,490.14x = 5,235.70 × 1,024.60
  4. Step 4: Simplify right side
    3,490.14x = 5,364,498.22
  5. Step 5: Solve for x
    x = 5,364,498.22/3,490.14
  6. Step 6: Final answer
    x = 1,537.04

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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.