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Finding the Fourth Proportional to 4,671.42, 6,446.52 and 2,575.50

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Solution

The fourth proportional to 4,671.42, 6,446.52 and 2,575.50 is: 3,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.42 : 6,446.52 = 2,575.50 : x
  2. Step 2: Convert to fraction form
    4,671.42/6,446.52 = 2,575.50/x
  3. Step 3: Cross multiply
    4,671.42x = 6,446.52 × 2,575.50
  4. Step 4: Simplify right side
    4,671.42x = 16,603,012.26
  5. Step 5: Solve for x
    x = 16,603,012.26/4,671.42
  6. Step 6: Final answer
    x = 3,554.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.