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Finding the Fourth Proportional to 5,095.84, 7,643.98 and 1,397.98

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Solution

The fourth proportional to 5,095.84, 7,643.98 and 1,397.98 is: 2,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.84 : 7,643.98 = 1,397.98 : x
  2. Step 2: Convert to fraction form
    5,095.84/7,643.98 = 1,397.98/x
  3. Step 3: Cross multiply
    5,095.84x = 7,643.98 × 1,397.98
  4. Step 4: Simplify right side
    5,095.84x = 10,686,131.16
  5. Step 5: Solve for x
    x = 10,686,131.16/5,095.84
  6. Step 6: Final answer
    x = 2,097.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.