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Finding the Fourth Proportional to 5,742.58, 8,606.52 and 4,999.15

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Solution

The fourth proportional to 5,742.58, 8,606.52 and 4,999.15 is: 7,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.58 : 8,606.52 = 4,999.15 : x
  2. Step 2: Convert to fraction form
    5,742.58/8,606.52 = 4,999.15/x
  3. Step 3: Cross multiply
    5,742.58x = 8,606.52 × 4,999.15
  4. Step 4: Simplify right side
    5,742.58x = 43,025,284.46
  5. Step 5: Solve for x
    x = 43,025,284.46/5,742.58
  6. Step 6: Final answer
    x = 7,492.33

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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.