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Finding the Fourth Proportional to 4,681, 7,022.24 and 2,341.18

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Solution

The fourth proportional to 4,681, 7,022.24 and 2,341.18 is: 3,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681 : 7,022.24 = 2,341.18 : x
  2. Step 2: Convert to fraction form
    4,681/7,022.24 = 2,341.18/x
  3. Step 3: Cross multiply
    4,681x = 7,022.24 × 2,341.18
  4. Step 4: Simplify right side
    4,681x = 16,440,327.84
  5. Step 5: Solve for x
    x = 16,440,327.84/4,681
  6. Step 6: Final answer
    x = 3,512.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.