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Finding the Fourth Proportional to 3,606.90, 5,411.70 and 1,417.20

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Solution

The fourth proportional to 3,606.90, 5,411.70 and 1,417.20 is: 2,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.90 : 5,411.70 = 1,417.20 : x
  2. Step 2: Convert to fraction form
    3,606.90/5,411.70 = 1,417.20/x
  3. Step 3: Cross multiply
    3,606.90x = 5,411.70 × 1,417.20
  4. Step 4: Simplify right side
    3,606.90x = 7,669,461.24
  5. Step 5: Solve for x
    x = 7,669,461.24/3,606.90
  6. Step 6: Final answer
    x = 2,126.33

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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.