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Finding the Fourth Proportional to 3,434.65, 4,741.12 and 2,688.86

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Solution

The fourth proportional to 3,434.65, 4,741.12 and 2,688.86 is: 3,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.65 : 4,741.12 = 2,688.86 : x
  2. Step 2: Convert to fraction form
    3,434.65/4,741.12 = 2,688.86/x
  3. Step 3: Cross multiply
    3,434.65x = 4,741.12 × 2,688.86
  4. Step 4: Simplify right side
    3,434.65x = 12,748,223.14
  5. Step 5: Solve for x
    x = 12,748,223.14/3,434.65
  6. Step 6: Final answer
    x = 3,711.65

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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.