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Finding the Fourth Proportional to 5,505.81, 7,598.01 and 3,148

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Solution

The fourth proportional to 5,505.81, 7,598.01 and 3,148 is: 4,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.81 : 7,598.01 = 3,148 : x
  2. Step 2: Convert to fraction form
    5,505.81/7,598.01 = 3,148/x
  3. Step 3: Cross multiply
    5,505.81x = 7,598.01 × 3,148
  4. Step 4: Simplify right side
    5,505.81x = 23,918,535.48
  5. Step 5: Solve for x
    x = 23,918,535.48/5,505.81
  6. Step 6: Final answer
    x = 4,344.24

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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.