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Finding the Fourth Proportional to 4,953.62, 7,429.39 and 1,490.10

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Solution

The fourth proportional to 4,953.62, 7,429.39 and 1,490.10 is: 2,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.62 : 7,429.39 = 1,490.10 : x
  2. Step 2: Convert to fraction form
    4,953.62/7,429.39 = 1,490.10/x
  3. Step 3: Cross multiply
    4,953.62x = 7,429.39 × 1,490.10
  4. Step 4: Simplify right side
    4,953.62x = 11,070,534.04
  5. Step 5: Solve for x
    x = 11,070,534.04/4,953.62
  6. Step 6: Final answer
    x = 2,234.84

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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.