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Finding the Fourth Proportional to 4,199.84, 5,797.02 and 2,607.32

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Solution

The fourth proportional to 4,199.84, 5,797.02 and 2,607.32 is: 3,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.84 : 5,797.02 = 2,607.32 : x
  2. Step 2: Convert to fraction form
    4,199.84/5,797.02 = 2,607.32/x
  3. Step 3: Cross multiply
    4,199.84x = 5,797.02 × 2,607.32
  4. Step 4: Simplify right side
    4,199.84x = 15,114,686.19
  5. Step 5: Solve for x
    x = 15,114,686.19/4,199.84
  6. Step 6: Final answer
    x = 3,598.87

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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.