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Finding the Fourth Proportional to 7,053.88, 9,731.82 and 4,258.36

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Solution

The fourth proportional to 7,053.88, 9,731.82 and 4,258.36 is: 5,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.88 : 9,731.82 = 4,258.36 : x
  2. Step 2: Convert to fraction form
    7,053.88/9,731.82 = 4,258.36/x
  3. Step 3: Cross multiply
    7,053.88x = 9,731.82 × 4,258.36
  4. Step 4: Simplify right side
    7,053.88x = 41,441,593.02
  5. Step 5: Solve for x
    x = 41,441,593.02/7,053.88
  6. Step 6: Final answer
    x = 5,875.01

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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.