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Finding the Fourth Proportional to 5,291.49, 7,285.63 and 4,493.14

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Solution

The fourth proportional to 5,291.49, 7,285.63 and 4,493.14 is: 6,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.49 : 7,285.63 = 4,493.14 : x
  2. Step 2: Convert to fraction form
    5,291.49/7,285.63 = 4,493.14/x
  3. Step 3: Cross multiply
    5,291.49x = 7,285.63 × 4,493.14
  4. Step 4: Simplify right side
    5,291.49x = 32,735,326.13
  5. Step 5: Solve for x
    x = 32,735,326.13/5,291.49
  6. Step 6: Final answer
    x = 6,186.41

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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.