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Finding the Fourth Proportional to 5,038.49, 6,953.68 and 3,049.00

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Solution

The fourth proportional to 5,038.49, 6,953.68 and 3,049.00 is: 4,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.49 : 6,953.68 = 3,049.00 : x
  2. Step 2: Convert to fraction form
    5,038.49/6,953.68 = 3,049.00/x
  3. Step 3: Cross multiply
    5,038.49x = 6,953.68 × 3,049.00
  4. Step 4: Simplify right side
    5,038.49x = 21,201,780.08
  5. Step 5: Solve for x
    x = 21,201,780.08/5,038.49
  6. Step 6: Final answer
    x = 4,207.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.