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Finding the Fourth Proportional to 4,492.86, 6,739.92 and 1,530.42

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Solution

The fourth proportional to 4,492.86, 6,739.92 and 1,530.42 is: 2,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.86 : 6,739.92 = 1,530.42 : x
  2. Step 2: Convert to fraction form
    4,492.86/6,739.92 = 1,530.42/x
  3. Step 3: Cross multiply
    4,492.86x = 6,739.92 × 1,530.42
  4. Step 4: Simplify right side
    4,492.86x = 10,314,908.37
  5. Step 5: Solve for x
    x = 10,314,908.37/4,492.86
  6. Step 6: Final answer
    x = 2,295.84

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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.