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Finding the Fourth Proportional to 4,607.24, 6,881.49 and 4,167.81

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Solution

The fourth proportional to 4,607.24, 6,881.49 and 4,167.81 is: 6,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.24 : 6,881.49 = 4,167.81 : x
  2. Step 2: Convert to fraction form
    4,607.24/6,881.49 = 4,167.81/x
  3. Step 3: Cross multiply
    4,607.24x = 6,881.49 × 4,167.81
  4. Step 4: Simplify right side
    4,607.24x = 28,680,742.84
  5. Step 5: Solve for x
    x = 28,680,742.84/4,607.24
  6. Step 6: Final answer
    x = 6,225.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.