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Finding the Fourth Proportional to 3,548, 5,322.03 and 1,239.50

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Solution

The fourth proportional to 3,548, 5,322.03 and 1,239.50 is: 1,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548 : 5,322.03 = 1,239.50 : x
  2. Step 2: Convert to fraction form
    3,548/5,322.03 = 1,239.50/x
  3. Step 3: Cross multiply
    3,548x = 5,322.03 × 1,239.50
  4. Step 4: Simplify right side
    3,548x = 6,596,649.99
  5. Step 5: Solve for x
    x = 6,596,649.99/3,548
  6. Step 6: Final answer
    x = 1,859.26

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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.