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Finding the Fourth Proportional to 5,059.45, 7,588.21 and 1,548.50

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Solution

The fourth proportional to 5,059.45, 7,588.21 and 1,548.50 is: 2,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.45 : 7,588.21 = 1,548.50 : x
  2. Step 2: Convert to fraction form
    5,059.45/7,588.21 = 1,548.50/x
  3. Step 3: Cross multiply
    5,059.45x = 7,588.21 × 1,548.50
  4. Step 4: Simplify right side
    5,059.45x = 11,750,343.19
  5. Step 5: Solve for x
    x = 11,750,343.19/5,059.45
  6. Step 6: Final answer
    x = 2,322.45

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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.