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Finding the Fourth Proportional to 5,756.84, 7,910.01 and 4,575.86

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Solution

The fourth proportional to 5,756.84, 7,910.01 and 4,575.86 is: 6,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.84 : 7,910.01 = 4,575.86 : x
  2. Step 2: Convert to fraction form
    5,756.84/7,910.01 = 4,575.86/x
  3. Step 3: Cross multiply
    5,756.84x = 7,910.01 × 4,575.86
  4. Step 4: Simplify right side
    5,756.84x = 36,195,088.47
  5. Step 5: Solve for x
    x = 36,195,088.47/5,756.84
  6. Step 6: Final answer
    x = 6,287.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.