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Finding the Fourth Proportional to 7,409.48, 10,225 and 4,052.28

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Solution

The fourth proportional to 7,409.48, 10,225 and 4,052.28 is: 5,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.48 : 10,225 = 4,052.28 : x
  2. Step 2: Convert to fraction form
    7,409.48/10,225 = 4,052.28/x
  3. Step 3: Cross multiply
    7,409.48x = 10,225 × 4,052.28
  4. Step 4: Simplify right side
    7,409.48x = 41,434,563
  5. Step 5: Solve for x
    x = 41,434,563/7,409.48
  6. Step 6: Final answer
    x = 5,592.10

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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.