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Finding the Fourth Proportional to 4,709.54, 6,498.84 and 2,613.50

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Solution

The fourth proportional to 4,709.54, 6,498.84 and 2,613.50 is: 3,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.54 : 6,498.84 = 2,613.50 : x
  2. Step 2: Convert to fraction form
    4,709.54/6,498.84 = 2,613.50/x
  3. Step 3: Cross multiply
    4,709.54x = 6,498.84 × 2,613.50
  4. Step 4: Simplify right side
    4,709.54x = 16,984,718.34
  5. Step 5: Solve for x
    x = 16,984,718.34/4,709.54
  6. Step 6: Final answer
    x = 3,606.45

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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.