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Finding the Fourth Proportional to 4,138, 5,710.68 and 2,370.16

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Solution

The fourth proportional to 4,138, 5,710.68 and 2,370.16 is: 3,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138 : 5,710.68 = 2,370.16 : x
  2. Step 2: Convert to fraction form
    4,138/5,710.68 = 2,370.16/x
  3. Step 3: Cross multiply
    4,138x = 5,710.68 × 2,370.16
  4. Step 4: Simplify right side
    4,138x = 13,535,225.31
  5. Step 5: Solve for x
    x = 13,535,225.31/4,138
  6. Step 6: Final answer
    x = 3,270.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.