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Finding the Fourth Proportional to 5,236.95, 7,848.74 and 2,457.49

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Solution

The fourth proportional to 5,236.95, 7,848.74 and 2,457.49 is: 3,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.95 : 7,848.74 = 2,457.49 : x
  2. Step 2: Convert to fraction form
    5,236.95/7,848.74 = 2,457.49/x
  3. Step 3: Cross multiply
    5,236.95x = 7,848.74 × 2,457.49
  4. Step 4: Simplify right side
    5,236.95x = 19,288,186.58
  5. Step 5: Solve for x
    x = 19,288,186.58/5,236.95
  6. Step 6: Final answer
    x = 3,683.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.