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Finding the Fourth Proportional to 4,354.61, 6,532.00 and 1,393.61

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Solution

The fourth proportional to 4,354.61, 6,532.00 and 1,393.61 is: 2,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.61 : 6,532.00 = 1,393.61 : x
  2. Step 2: Convert to fraction form
    4,354.61/6,532.00 = 1,393.61/x
  3. Step 3: Cross multiply
    4,354.61x = 6,532.00 × 1,393.61
  4. Step 4: Simplify right side
    4,354.61x = 9,103,073.37
  5. Step 5: Solve for x
    x = 9,103,073.37/4,354.61
  6. Step 6: Final answer
    x = 2,090.45

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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.