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Finding the Fourth Proportional to 5,415.36, 7,459.17 and 5,052.48

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Solution

The fourth proportional to 5,415.36, 7,459.17 and 5,052.48 is: 6,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.36 : 7,459.17 = 5,052.48 : x
  2. Step 2: Convert to fraction form
    5,415.36/7,459.17 = 5,052.48/x
  3. Step 3: Cross multiply
    5,415.36x = 7,459.17 × 5,052.48
  4. Step 4: Simplify right side
    5,415.36x = 37,687,307.24
  5. Step 5: Solve for x
    x = 37,687,307.24/5,415.36
  6. Step 6: Final answer
    x = 6,959.34

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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.