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Finding the Fourth Proportional to 4,671.34, 7,006.05 and 2,205.10

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Solution

The fourth proportional to 4,671.34, 7,006.05 and 2,205.10 is: 3,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.34 : 7,006.05 = 2,205.10 : x
  2. Step 2: Convert to fraction form
    4,671.34/7,006.05 = 2,205.10/x
  3. Step 3: Cross multiply
    4,671.34x = 7,006.05 × 2,205.10
  4. Step 4: Simplify right side
    4,671.34x = 15,449,040.86
  5. Step 5: Solve for x
    x = 15,449,040.86/4,671.34
  6. Step 6: Final answer
    x = 3,307.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.