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Finding the Fourth Proportional to 4,670.53, 6,444.56 and 3,675.44

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Solution

The fourth proportional to 4,670.53, 6,444.56 and 3,675.44 is: 5,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.53 : 6,444.56 = 3,675.44 : x
  2. Step 2: Convert to fraction form
    4,670.53/6,444.56 = 3,675.44/x
  3. Step 3: Cross multiply
    4,670.53x = 6,444.56 × 3,675.44
  4. Step 4: Simplify right side
    4,670.53x = 23,686,618.91
  5. Step 5: Solve for x
    x = 23,686,618.91/4,670.53
  6. Step 6: Final answer
    x = 5,071.51

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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.