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Finding the Fourth Proportional to 4,842.40, 6,678.72 and 4,098.40

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Solution

The fourth proportional to 4,842.40, 6,678.72 and 4,098.40 is: 5,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.40 : 6,678.72 = 4,098.40 : x
  2. Step 2: Convert to fraction form
    4,842.40/6,678.72 = 4,098.40/x
  3. Step 3: Cross multiply
    4,842.40x = 6,678.72 × 4,098.40
  4. Step 4: Simplify right side
    4,842.40x = 27,372,066.05
  5. Step 5: Solve for x
    x = 27,372,066.05/4,842.40
  6. Step 6: Final answer
    x = 5,652.58

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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.