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Finding the Fourth Proportional to 5,606.40, 7,739.40 and 3,248.04

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Solution

The fourth proportional to 5,606.40, 7,739.40 and 3,248.04 is: 4,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.40 : 7,739.40 = 3,248.04 : x
  2. Step 2: Convert to fraction form
    5,606.40/7,739.40 = 3,248.04/x
  3. Step 3: Cross multiply
    5,606.40x = 7,739.40 × 3,248.04
  4. Step 4: Simplify right side
    5,606.40x = 25,137,880.78
  5. Step 5: Solve for x
    x = 25,137,880.78/5,606.40
  6. Step 6: Final answer
    x = 4,483.78

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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.