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Finding the Fourth Proportional to 5,052.04, 7,578.66 and 1,765.86

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Solution

The fourth proportional to 5,052.04, 7,578.66 and 1,765.86 is: 2,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.04 : 7,578.66 = 1,765.86 : x
  2. Step 2: Convert to fraction form
    5,052.04/7,578.66 = 1,765.86/x
  3. Step 3: Cross multiply
    5,052.04x = 7,578.66 × 1,765.86
  4. Step 4: Simplify right side
    5,052.04x = 13,382,852.55
  5. Step 5: Solve for x
    x = 13,382,852.55/5,052.04
  6. Step 6: Final answer
    x = 2,649.00

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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.