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Finding the Fourth Proportional to 4,507.86, 6,752.59 and 3,677.88

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Solution

The fourth proportional to 4,507.86, 6,752.59 and 3,677.88 is: 5,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.86 : 6,752.59 = 3,677.88 : x
  2. Step 2: Convert to fraction form
    4,507.86/6,752.59 = 3,677.88/x
  3. Step 3: Cross multiply
    4,507.86x = 6,752.59 × 3,677.88
  4. Step 4: Simplify right side
    4,507.86x = 24,835,215.71
  5. Step 5: Solve for x
    x = 24,835,215.71/4,507.86
  6. Step 6: Final answer
    x = 5,509.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.