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Finding the Fourth Proportional to 3,465.36, 5,197.20 and 1,384.72

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Solution

The fourth proportional to 3,465.36, 5,197.20 and 1,384.72 is: 2,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.36 : 5,197.20 = 1,384.72 : x
  2. Step 2: Convert to fraction form
    3,465.36/5,197.20 = 1,384.72/x
  3. Step 3: Cross multiply
    3,465.36x = 5,197.20 × 1,384.72
  4. Step 4: Simplify right side
    3,465.36x = 7,196,666.78
  5. Step 5: Solve for x
    x = 7,196,666.78/3,465.36
  6. Step 6: Final answer
    x = 2,076.74

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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.