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Finding the Fourth Proportional to 5,306.48, 7,322.94 and 2,948.60

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Solution

The fourth proportional to 5,306.48, 7,322.94 and 2,948.60 is: 4,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.48 : 7,322.94 = 2,948.60 : x
  2. Step 2: Convert to fraction form
    5,306.48/7,322.94 = 2,948.60/x
  3. Step 3: Cross multiply
    5,306.48x = 7,322.94 × 2,948.60
  4. Step 4: Simplify right side
    5,306.48x = 21,592,420.88
  5. Step 5: Solve for x
    x = 21,592,420.88/5,306.48
  6. Step 6: Final answer
    x = 4,069.07

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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.