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Finding the Fourth Proportional to 3,834.04, 5,291.47 and 2,341.64

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Solution

The fourth proportional to 3,834.04, 5,291.47 and 2,341.64 is: 3,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.04 : 5,291.47 = 2,341.64 : x
  2. Step 2: Convert to fraction form
    3,834.04/5,291.47 = 2,341.64/x
  3. Step 3: Cross multiply
    3,834.04x = 5,291.47 × 2,341.64
  4. Step 4: Simplify right side
    3,834.04x = 12,390,717.81
  5. Step 5: Solve for x
    x = 12,390,717.81/3,834.04
  6. Step 6: Final answer
    x = 3,231.77

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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.