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Finding the Fourth Proportional to 5,098.25, 7,019.59 and 4,631.16

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Solution

The fourth proportional to 5,098.25, 7,019.59 and 4,631.16 is: 6,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.25 : 7,019.59 = 4,631.16 : x
  2. Step 2: Convert to fraction form
    5,098.25/7,019.59 = 4,631.16/x
  3. Step 3: Cross multiply
    5,098.25x = 7,019.59 × 4,631.16
  4. Step 4: Simplify right side
    5,098.25x = 32,508,844.42
  5. Step 5: Solve for x
    x = 32,508,844.42/5,098.25
  6. Step 6: Final answer
    x = 6,376.47

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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.