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Finding the Fourth Proportional to 4,612.65, 6,365.70 and 2,596.20

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Solution

The fourth proportional to 4,612.65, 6,365.70 and 2,596.20 is: 3,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.65 : 6,365.70 = 2,596.20 : x
  2. Step 2: Convert to fraction form
    4,612.65/6,365.70 = 2,596.20/x
  3. Step 3: Cross multiply
    4,612.65x = 6,365.70 × 2,596.20
  4. Step 4: Simplify right side
    4,612.65x = 16,526,630.34
  5. Step 5: Solve for x
    x = 16,526,630.34/4,612.65
  6. Step 6: Final answer
    x = 3,582.89

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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.