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Finding the Fourth Proportional to 5,053.68, 7,578.28 and 1,973.52

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Solution

The fourth proportional to 5,053.68, 7,578.28 and 1,973.52 is: 2,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.68 : 7,578.28 = 1,973.52 : x
  2. Step 2: Convert to fraction form
    5,053.68/7,578.28 = 1,973.52/x
  3. Step 3: Cross multiply
    5,053.68x = 7,578.28 × 1,973.52
  4. Step 4: Simplify right side
    5,053.68x = 14,955,887.15
  5. Step 5: Solve for x
    x = 14,955,887.15/5,053.68
  6. Step 6: Final answer
    x = 2,959.41

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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.