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Finding the Fourth Proportional to 4,328.02, 5,972.97 and 2,465.02

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Solution

The fourth proportional to 4,328.02, 5,972.97 and 2,465.02 is: 3,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.02 : 5,972.97 = 2,465.02 : x
  2. Step 2: Convert to fraction form
    4,328.02/5,972.97 = 2,465.02/x
  3. Step 3: Cross multiply
    4,328.02x = 5,972.97 × 2,465.02
  4. Step 4: Simplify right side
    4,328.02x = 14,723,490.51
  5. Step 5: Solve for x
    x = 14,723,490.51/4,328.02
  6. Step 6: Final answer
    x = 3,401.90

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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.