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Finding the Fourth Proportional to 3,699, 5,106.42 and 2,440.86

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Solution

The fourth proportional to 3,699, 5,106.42 and 2,440.86 is: 3,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699 : 5,106.42 = 2,440.86 : x
  2. Step 2: Convert to fraction form
    3,699/5,106.42 = 2,440.86/x
  3. Step 3: Cross multiply
    3,699x = 5,106.42 × 2,440.86
  4. Step 4: Simplify right side
    3,699x = 12,464,056.32
  5. Step 5: Solve for x
    x = 12,464,056.32/3,699
  6. Step 6: Final answer
    x = 3,369.57

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1.5x scale

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.