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Finding the Fourth Proportional to 5,639.94, 7,762.68 and 5,197.05

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Solution

The fourth proportional to 5,639.94, 7,762.68 and 5,197.05 is: 7,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.94 : 7,762.68 = 5,197.05 : x
  2. Step 2: Convert to fraction form
    5,639.94/7,762.68 = 5,197.05/x
  3. Step 3: Cross multiply
    5,639.94x = 7,762.68 × 5,197.05
  4. Step 4: Simplify right side
    5,639.94x = 40,343,036.09
  5. Step 5: Solve for x
    x = 40,343,036.09/5,639.94
  6. Step 6: Final answer
    x = 7,153.10

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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.