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Finding the Fourth Proportional to 5,653.76, 7,795.41 and 5,342

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Solution

The fourth proportional to 5,653.76, 7,795.41 and 5,342 is: 7,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.76 : 7,795.41 = 5,342 : x
  2. Step 2: Convert to fraction form
    5,653.76/7,795.41 = 5,342/x
  3. Step 3: Cross multiply
    5,653.76x = 7,795.41 × 5,342
  4. Step 4: Simplify right side
    5,653.76x = 41,643,080.22
  5. Step 5: Solve for x
    x = 41,643,080.22/5,653.76
  6. Step 6: Final answer
    x = 7,365.55

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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.