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Finding the Fourth Proportional to 3,255.84, 4,492.32 and 1,858.56

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Solution

The fourth proportional to 3,255.84, 4,492.32 and 1,858.56 is: 2,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.84 : 4,492.32 = 1,858.56 : x
  2. Step 2: Convert to fraction form
    3,255.84/4,492.32 = 1,858.56/x
  3. Step 3: Cross multiply
    3,255.84x = 4,492.32 × 1,858.56
  4. Step 4: Simplify right side
    3,255.84x = 8,349,246.26
  5. Step 5: Solve for x
    x = 8,349,246.26/3,255.84
  6. Step 6: Final answer
    x = 2,564.39

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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.