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Finding the Fourth Proportional to 4,762.17, 7,142.99 and 1,475.16

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Solution

The fourth proportional to 4,762.17, 7,142.99 and 1,475.16 is: 2,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.17 : 7,142.99 = 1,475.16 : x
  2. Step 2: Convert to fraction form
    4,762.17/7,142.99 = 1,475.16/x
  3. Step 3: Cross multiply
    4,762.17x = 7,142.99 × 1,475.16
  4. Step 4: Simplify right side
    4,762.17x = 10,537,059.15
  5. Step 5: Solve for x
    x = 10,537,059.15/4,762.17
  6. Step 6: Final answer
    x = 2,212.66

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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.