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Finding the Fourth Proportional to 3,492.65, 4,824.77 and 3,177.36

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Solution

The fourth proportional to 3,492.65, 4,824.77 and 3,177.36 is: 4,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.65 : 4,824.77 = 3,177.36 : x
  2. Step 2: Convert to fraction form
    3,492.65/4,824.77 = 3,177.36/x
  3. Step 3: Cross multiply
    3,492.65x = 4,824.77 × 3,177.36
  4. Step 4: Simplify right side
    3,492.65x = 15,330,015.32
  5. Step 5: Solve for x
    x = 15,330,015.32/3,492.65
  6. Step 6: Final answer
    x = 4,389.22

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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.