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Finding the Fourth Proportional to 5,280.85, 7,920.06 and 1,583

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Solution

The fourth proportional to 5,280.85, 7,920.06 and 1,583 is: 2,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.85 : 7,920.06 = 1,583 : x
  2. Step 2: Convert to fraction form
    5,280.85/7,920.06 = 1,583/x
  3. Step 3: Cross multiply
    5,280.85x = 7,920.06 × 1,583
  4. Step 4: Simplify right side
    5,280.85x = 12,537,454.98
  5. Step 5: Solve for x
    x = 12,537,454.98/5,280.85
  6. Step 6: Final answer
    x = 2,374.14

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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.