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Finding the Fourth Proportional to 4,688.49, 7,032 and 1,568.49

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Solution

The fourth proportional to 4,688.49, 7,032 and 1,568.49 is: 2,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.49 : 7,032 = 1,568.49 : x
  2. Step 2: Convert to fraction form
    4,688.49/7,032 = 1,568.49/x
  3. Step 3: Cross multiply
    4,688.49x = 7,032 × 1,568.49
  4. Step 4: Simplify right side
    4,688.49x = 11,029,621.68
  5. Step 5: Solve for x
    x = 11,029,621.68/4,688.49
  6. Step 6: Final answer
    x = 2,352.49

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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.