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Finding the Fourth Proportional to 5,246.42, 7,869.60 and 1,548.68

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Solution

The fourth proportional to 5,246.42, 7,869.60 and 1,548.68 is: 2,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.42 : 7,869.60 = 1,548.68 : x
  2. Step 2: Convert to fraction form
    5,246.42/7,869.60 = 1,548.68/x
  3. Step 3: Cross multiply
    5,246.42x = 7,869.60 × 1,548.68
  4. Step 4: Simplify right side
    5,246.42x = 12,187,492.13
  5. Step 5: Solve for x
    x = 12,187,492.13/5,246.42
  6. Step 6: Final answer
    x = 2,323.01

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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.