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Finding the Fourth Proportional to 3,294.58, 4,543.11 and 2,824.11

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Solution

The fourth proportional to 3,294.58, 4,543.11 and 2,824.11 is: 3,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.58 : 4,543.11 = 2,824.11 : x
  2. Step 2: Convert to fraction form
    3,294.58/4,543.11 = 2,824.11/x
  3. Step 3: Cross multiply
    3,294.58x = 4,543.11 × 2,824.11
  4. Step 4: Simplify right side
    3,294.58x = 12,830,242.38
  5. Step 5: Solve for x
    x = 12,830,242.38/3,294.58
  6. Step 6: Final answer
    x = 3,894.35

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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.