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Finding the Fourth Proportional to 4,612.63, 6,364.86 and 2,595.80

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Solution

The fourth proportional to 4,612.63, 6,364.86 and 2,595.80 is: 3,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.63 : 6,364.86 = 2,595.80 : x
  2. Step 2: Convert to fraction form
    4,612.63/6,364.86 = 2,595.80/x
  3. Step 3: Cross multiply
    4,612.63x = 6,364.86 × 2,595.80
  4. Step 4: Simplify right side
    4,612.63x = 16,521,871.76
  5. Step 5: Solve for x
    x = 16,521,871.76/4,612.63
  6. Step 6: Final answer
    x = 3,581.88

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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.