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Finding the Fourth Proportional to 5,012.30, 6,916.38 and 2,916.02

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Solution

The fourth proportional to 5,012.30, 6,916.38 and 2,916.02 is: 4,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.30 : 6,916.38 = 2,916.02 : x
  2. Step 2: Convert to fraction form
    5,012.30/6,916.38 = 2,916.02/x
  3. Step 3: Cross multiply
    5,012.30x = 6,916.38 × 2,916.02
  4. Step 4: Simplify right side
    5,012.30x = 20,168,302.41
  5. Step 5: Solve for x
    x = 20,168,302.41/5,012.30
  6. Step 6: Final answer
    x = 4,023.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.