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Finding the Fourth Proportional to 5,671.98, 8,510.40 and 3,830.04

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Solution

The fourth proportional to 5,671.98, 8,510.40 and 3,830.04 is: 5,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.98 : 8,510.40 = 3,830.04 : x
  2. Step 2: Convert to fraction form
    5,671.98/8,510.40 = 3,830.04/x
  3. Step 3: Cross multiply
    5,671.98x = 8,510.40 × 3,830.04
  4. Step 4: Simplify right side
    5,671.98x = 32,595,172.42
  5. Step 5: Solve for x
    x = 32,595,172.42/5,671.98
  6. Step 6: Final answer
    x = 5,746.70

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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.