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Finding the Fourth Proportional to 5,262.82, 7,262.33 and 2,905

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Solution

The fourth proportional to 5,262.82, 7,262.33 and 2,905 is: 4,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.82 : 7,262.33 = 2,905 : x
  2. Step 2: Convert to fraction form
    5,262.82/7,262.33 = 2,905/x
  3. Step 3: Cross multiply
    5,262.82x = 7,262.33 × 2,905
  4. Step 4: Simplify right side
    5,262.82x = 21,097,068.65
  5. Step 5: Solve for x
    x = 21,097,068.65/5,262.82
  6. Step 6: Final answer
    x = 4,008.70

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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.