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Finding the Fourth Proportional to 3,676.64, 5,518.04 and 1,598.20

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Solution

The fourth proportional to 3,676.64, 5,518.04 and 1,598.20 is: 2,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.64 : 5,518.04 = 1,598.20 : x
  2. Step 2: Convert to fraction form
    3,676.64/5,518.04 = 1,598.20/x
  3. Step 3: Cross multiply
    3,676.64x = 5,518.04 × 1,598.20
  4. Step 4: Simplify right side
    3,676.64x = 8,818,931.53
  5. Step 5: Solve for x
    x = 8,818,931.53/3,676.64
  6. Step 6: Final answer
    x = 2,398.64

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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.