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Finding the Fourth Proportional to 4,782.50, 6,599.86 and 2,686.63

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Solution

The fourth proportional to 4,782.50, 6,599.86 and 2,686.63 is: 3,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.50 : 6,599.86 = 2,686.63 : x
  2. Step 2: Convert to fraction form
    4,782.50/6,599.86 = 2,686.63/x
  3. Step 3: Cross multiply
    4,782.50x = 6,599.86 × 2,686.63
  4. Step 4: Simplify right side
    4,782.50x = 17,731,381.87
  5. Step 5: Solve for x
    x = 17,731,381.87/4,782.50
  6. Step 6: Final answer
    x = 3,707.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.