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Finding the Fourth Proportional to 4,710.79, 6,500.46 and 2,585.98

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Solution

The fourth proportional to 4,710.79, 6,500.46 and 2,585.98 is: 3,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.79 : 6,500.46 = 2,585.98 : x
  2. Step 2: Convert to fraction form
    4,710.79/6,500.46 = 2,585.98/x
  3. Step 3: Cross multiply
    4,710.79x = 6,500.46 × 2,585.98
  4. Step 4: Simplify right side
    4,710.79x = 16,810,059.55
  5. Step 5: Solve for x
    x = 16,810,059.55/4,710.79
  6. Step 6: Final answer
    x = 3,568.42

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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.