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Finding the Fourth Proportional to 3,695.99, 5,102.35 and 2,854.80

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Solution

The fourth proportional to 3,695.99, 5,102.35 and 2,854.80 is: 3,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.99 : 5,102.35 = 2,854.80 : x
  2. Step 2: Convert to fraction form
    3,695.99/5,102.35 = 2,854.80/x
  3. Step 3: Cross multiply
    3,695.99x = 5,102.35 × 2,854.80
  4. Step 4: Simplify right side
    3,695.99x = 14,566,188.78
  5. Step 5: Solve for x
    x = 14,566,188.78/3,695.99
  6. Step 6: Final answer
    x = 3,941.08

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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.