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Finding the Fourth Proportional to 3,411.83, 5,117.17 and 946.90

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Solution

The fourth proportional to 3,411.83, 5,117.17 and 946.90 is: 1,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.83 : 5,117.17 = 946.90 : x
  2. Step 2: Convert to fraction form
    3,411.83/5,117.17 = 946.90/x
  3. Step 3: Cross multiply
    3,411.83x = 5,117.17 × 946.90
  4. Step 4: Simplify right side
    3,411.83x = 4,845,417.95
  5. Step 5: Solve for x
    x = 4,845,417.95/3,411.83
  6. Step 6: Final answer
    x = 1,420.18

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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.