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Finding the Fourth Proportional to 4,709.96, 6,498.90 and 3,053

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Solution

The fourth proportional to 4,709.96, 6,498.90 and 3,053 is: 4,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.96 : 6,498.90 = 3,053 : x
  2. Step 2: Convert to fraction form
    4,709.96/6,498.90 = 3,053/x
  3. Step 3: Cross multiply
    4,709.96x = 6,498.90 × 3,053
  4. Step 4: Simplify right side
    4,709.96x = 19,841,141.70
  5. Step 5: Solve for x
    x = 19,841,141.70/4,709.96
  6. Step 6: Final answer
    x = 4,212.59

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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.