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Finding the Fourth Proportional to 4,842.29, 6,670.84 and 4,551.60

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Solution

The fourth proportional to 4,842.29, 6,670.84 and 4,551.60 is: 6,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.29 : 6,670.84 = 4,551.60 : x
  2. Step 2: Convert to fraction form
    4,842.29/6,670.84 = 4,551.60/x
  3. Step 3: Cross multiply
    4,842.29x = 6,670.84 × 4,551.60
  4. Step 4: Simplify right side
    4,842.29x = 30,362,972.59
  5. Step 5: Solve for x
    x = 30,362,972.59/4,842.29
  6. Step 6: Final answer
    x = 6,270.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.