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Finding the Fourth Proportional to 5,497.08, 7,574.10 and 4,597.68

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Solution

The fourth proportional to 5,497.08, 7,574.10 and 4,597.68 is: 6,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.08 : 7,574.10 = 4,597.68 : x
  2. Step 2: Convert to fraction form
    5,497.08/7,574.10 = 4,597.68/x
  3. Step 3: Cross multiply
    5,497.08x = 7,574.10 × 4,597.68
  4. Step 4: Simplify right side
    5,497.08x = 34,823,288.09
  5. Step 5: Solve for x
    x = 34,823,288.09/5,497.08
  6. Step 6: Final answer
    x = 6,334.87

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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.