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Finding the Fourth Proportional to 6,401.53, 8,825.68 and 5,597.58

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Solution

The fourth proportional to 6,401.53, 8,825.68 and 5,597.58 is: 7,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.53 : 8,825.68 = 5,597.58 : x
  2. Step 2: Convert to fraction form
    6,401.53/8,825.68 = 5,597.58/x
  3. Step 3: Cross multiply
    6,401.53x = 8,825.68 × 5,597.58
  4. Step 4: Simplify right side
    6,401.53x = 49,402,480.87
  5. Step 5: Solve for x
    x = 49,402,480.87/6,401.53
  6. Step 6: Final answer
    x = 7,717.29

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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.