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Finding the Fourth Proportional to 4,562.74, 6,297.40 and 4,354.98

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Solution

The fourth proportional to 4,562.74, 6,297.40 and 4,354.98 is: 6,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.74 : 6,297.40 = 4,354.98 : x
  2. Step 2: Convert to fraction form
    4,562.74/6,297.40 = 4,354.98/x
  3. Step 3: Cross multiply
    4,562.74x = 6,297.40 × 4,354.98
  4. Step 4: Simplify right side
    4,562.74x = 27,425,051.05
  5. Step 5: Solve for x
    x = 27,425,051.05/4,562.74
  6. Step 6: Final answer
    x = 6,010.65

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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.