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Finding the Fourth Proportional to 3,712.77, 5,569.09 and 1,492.58

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Solution

The fourth proportional to 3,712.77, 5,569.09 and 1,492.58 is: 2,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.77 : 5,569.09 = 1,492.58 : x
  2. Step 2: Convert to fraction form
    3,712.77/5,569.09 = 1,492.58/x
  3. Step 3: Cross multiply
    3,712.77x = 5,569.09 × 1,492.58
  4. Step 4: Simplify right side
    3,712.77x = 8,312,312.35
  5. Step 5: Solve for x
    x = 8,312,312.35/3,712.77
  6. Step 6: Final answer
    x = 2,238.84

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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.