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Finding the Fourth Proportional to 3,507.36, 5,260.23 and 1,558.50

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Solution

The fourth proportional to 3,507.36, 5,260.23 and 1,558.50 is: 2,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.36 : 5,260.23 = 1,558.50 : x
  2. Step 2: Convert to fraction form
    3,507.36/5,260.23 = 1,558.50/x
  3. Step 3: Cross multiply
    3,507.36x = 5,260.23 × 1,558.50
  4. Step 4: Simplify right side
    3,507.36x = 8,198,068.46
  5. Step 5: Solve for x
    x = 8,198,068.46/3,507.36
  6. Step 6: Final answer
    x = 2,337.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.