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Finding the Fourth Proportional to 4,916.40, 7,373.43 and 1,406.30

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Solution

The fourth proportional to 4,916.40, 7,373.43 and 1,406.30 is: 2,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.40 : 7,373.43 = 1,406.30 : x
  2. Step 2: Convert to fraction form
    4,916.40/7,373.43 = 1,406.30/x
  3. Step 3: Cross multiply
    4,916.40x = 7,373.43 × 1,406.30
  4. Step 4: Simplify right side
    4,916.40x = 10,369,217.74
  5. Step 5: Solve for x
    x = 10,369,217.74/4,916.40
  6. Step 6: Final answer
    x = 2,109.11

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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.