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Finding the Fourth Proportional to 3,390.34, 5,082.01 and 1,417.12

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Solution

The fourth proportional to 3,390.34, 5,082.01 and 1,417.12 is: 2,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.34 : 5,082.01 = 1,417.12 : x
  2. Step 2: Convert to fraction form
    3,390.34/5,082.01 = 1,417.12/x
  3. Step 3: Cross multiply
    3,390.34x = 5,082.01 × 1,417.12
  4. Step 4: Simplify right side
    3,390.34x = 7,201,801.76
  5. Step 5: Solve for x
    x = 7,201,801.76/3,390.34
  6. Step 6: Final answer
    x = 2,124.21

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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.