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Finding the Fourth Proportional to 4,596.30, 6,898.77 and 2,406.60

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Solution

The fourth proportional to 4,596.30, 6,898.77 and 2,406.60 is: 3,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.30 : 6,898.77 = 2,406.60 : x
  2. Step 2: Convert to fraction form
    4,596.30/6,898.77 = 2,406.60/x
  3. Step 3: Cross multiply
    4,596.30x = 6,898.77 × 2,406.60
  4. Step 4: Simplify right side
    4,596.30x = 16,602,579.88
  5. Step 5: Solve for x
    x = 16,602,579.88/4,596.30
  6. Step 6: Final answer
    x = 3,612.16

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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.