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Finding the Fourth Proportional to 4,671.34, 6,446.43 and 2,575.46

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Solution

The fourth proportional to 4,671.34, 6,446.43 and 2,575.46 is: 3,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.34 : 6,446.43 = 2,575.46 : x
  2. Step 2: Convert to fraction form
    4,671.34/6,446.43 = 2,575.46/x
  3. Step 3: Cross multiply
    4,671.34x = 6,446.43 × 2,575.46
  4. Step 4: Simplify right side
    4,671.34x = 16,602,522.61
  5. Step 5: Solve for x
    x = 16,602,522.61/4,671.34
  6. Step 6: Final answer
    x = 3,554.12

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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.