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Finding the Fourth Proportional to 4,337.80, 6,506.70 and 2,782.60

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Solution

The fourth proportional to 4,337.80, 6,506.70 and 2,782.60 is: 4,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.80 : 6,506.70 = 2,782.60 : x
  2. Step 2: Convert to fraction form
    4,337.80/6,506.70 = 2,782.60/x
  3. Step 3: Cross multiply
    4,337.80x = 6,506.70 × 2,782.60
  4. Step 4: Simplify right side
    4,337.80x = 18,105,543.42
  5. Step 5: Solve for x
    x = 18,105,543.42/4,337.80
  6. Step 6: Final answer
    x = 4,173.90

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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.