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Finding the Fourth Proportional to 5,306.76, 7,323.42 and 2,916.96

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Solution

The fourth proportional to 5,306.76, 7,323.42 and 2,916.96 is: 4,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.76 : 7,323.42 = 2,916.96 : x
  2. Step 2: Convert to fraction form
    5,306.76/7,323.42 = 2,916.96/x
  3. Step 3: Cross multiply
    5,306.76x = 7,323.42 × 2,916.96
  4. Step 4: Simplify right side
    5,306.76x = 21,362,123.20
  5. Step 5: Solve for x
    x = 21,362,123.20/5,306.76
  6. Step 6: Final answer
    x = 4,025.45

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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.