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Finding the Fourth Proportional to 3,875.70, 5,813.54 and 1,102.32

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Solution

The fourth proportional to 3,875.70, 5,813.54 and 1,102.32 is: 1,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.70 : 5,813.54 = 1,102.32 : x
  2. Step 2: Convert to fraction form
    3,875.70/5,813.54 = 1,102.32/x
  3. Step 3: Cross multiply
    3,875.70x = 5,813.54 × 1,102.32
  4. Step 4: Simplify right side
    3,875.70x = 6,408,381.41
  5. Step 5: Solve for x
    x = 6,408,381.41/3,875.70
  6. Step 6: Final answer
    x = 1,653.48

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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.