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Finding the Fourth Proportional to 3,547.86, 5,322.99 and 1,573.22

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Solution

The fourth proportional to 3,547.86, 5,322.99 and 1,573.22 is: 2,360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.86 : 5,322.99 = 1,573.22 : x
  2. Step 2: Convert to fraction form
    3,547.86/5,322.99 = 1,573.22/x
  3. Step 3: Cross multiply
    3,547.86x = 5,322.99 × 1,573.22
  4. Step 4: Simplify right side
    3,547.86x = 8,374,234.33
  5. Step 5: Solve for x
    x = 8,374,234.33/3,547.86
  6. Step 6: Final answer
    x = 2,360.36

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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.