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Finding the Fourth Proportional to 3,493.49, 4,823.49 and 2,317.01

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Solution

The fourth proportional to 3,493.49, 4,823.49 and 2,317.01 is: 3,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.49 : 4,823.49 = 2,317.01 : x
  2. Step 2: Convert to fraction form
    3,493.49/4,823.49 = 2,317.01/x
  3. Step 3: Cross multiply
    3,493.49x = 4,823.49 × 2,317.01
  4. Step 4: Simplify right side
    3,493.49x = 11,176,062.98
  5. Step 5: Solve for x
    x = 11,176,062.98/3,493.49
  6. Step 6: Final answer
    x = 3,199.11

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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.