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Finding the Fourth Proportional to 4,537.37, 6,262.25 and 2,770

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Solution

The fourth proportional to 4,537.37, 6,262.25 and 2,770 is: 3,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.37 : 6,262.25 = 2,770 : x
  2. Step 2: Convert to fraction form
    4,537.37/6,262.25 = 2,770/x
  3. Step 3: Cross multiply
    4,537.37x = 6,262.25 × 2,770
  4. Step 4: Simplify right side
    4,537.37x = 17,346,432.50
  5. Step 5: Solve for x
    x = 17,346,432.50/4,537.37
  6. Step 6: Final answer
    x = 3,823.01

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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.