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Finding the Fourth Proportional to 4,167.86, 5,746.88 and 3,409.22

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Solution

The fourth proportional to 4,167.86, 5,746.88 and 3,409.22 is: 4,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.86 : 5,746.88 = 3,409.22 : x
  2. Step 2: Convert to fraction form
    4,167.86/5,746.88 = 3,409.22/x
  3. Step 3: Cross multiply
    4,167.86x = 5,746.88 × 3,409.22
  4. Step 4: Simplify right side
    4,167.86x = 19,592,401.12
  5. Step 5: Solve for x
    x = 19,592,401.12/4,167.86
  6. Step 6: Final answer
    x = 4,700.84

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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.