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Finding the Fourth Proportional to 4,780.89, 6,598.23 and 2,685

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Solution

The fourth proportional to 4,780.89, 6,598.23 and 2,685 is: 3,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.89 : 6,598.23 = 2,685 : x
  2. Step 2: Convert to fraction form
    4,780.89/6,598.23 = 2,685/x
  3. Step 3: Cross multiply
    4,780.89x = 6,598.23 × 2,685
  4. Step 4: Simplify right side
    4,780.89x = 17,716,247.55
  5. Step 5: Solve for x
    x = 17,716,247.55/4,780.89
  6. Step 6: Final answer
    x = 3,705.64

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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.