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Finding the Fourth Proportional to 4,953.96, 7,429.14 and 2,030.64

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Solution

The fourth proportional to 4,953.96, 7,429.14 and 2,030.64 is: 3,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.96 : 7,429.14 = 2,030.64 : x
  2. Step 2: Convert to fraction form
    4,953.96/7,429.14 = 2,030.64/x
  3. Step 3: Cross multiply
    4,953.96x = 7,429.14 × 2,030.64
  4. Step 4: Simplify right side
    4,953.96x = 15,085,908.85
  5. Step 5: Solve for x
    x = 15,085,908.85/4,953.96
  6. Step 6: Final answer
    x = 3,045.22

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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.