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Finding the Fourth Proportional to 4,688.94, 7,031.07 and 2,497.08

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Solution

The fourth proportional to 4,688.94, 7,031.07 and 2,497.08 is: 3,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.94 : 7,031.07 = 2,497.08 : x
  2. Step 2: Convert to fraction form
    4,688.94/7,031.07 = 2,497.08/x
  3. Step 3: Cross multiply
    4,688.94x = 7,031.07 × 2,497.08
  4. Step 4: Simplify right side
    4,688.94x = 17,557,144.28
  5. Step 5: Solve for x
    x = 17,557,144.28/4,688.94
  6. Step 6: Final answer
    x = 3,744.37

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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.