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Finding the Fourth Proportional to 4,034.28, 6,055.66 and 3,575

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Solution

The fourth proportional to 4,034.28, 6,055.66 and 3,575 is: 5,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.28 : 6,055.66 = 3,575 : x
  2. Step 2: Convert to fraction form
    4,034.28/6,055.66 = 3,575/x
  3. Step 3: Cross multiply
    4,034.28x = 6,055.66 × 3,575
  4. Step 4: Simplify right side
    4,034.28x = 21,648,984.50
  5. Step 5: Solve for x
    x = 21,648,984.50/4,034.28
  6. Step 6: Final answer
    x = 5,366.26

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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.