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Finding the Fourth Proportional to 5,880.60, 8,821.35 and 1,985

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Solution

The fourth proportional to 5,880.60, 8,821.35 and 1,985 is: 2,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.60 : 8,821.35 = 1,985 : x
  2. Step 2: Convert to fraction form
    5,880.60/8,821.35 = 1,985/x
  3. Step 3: Cross multiply
    5,880.60x = 8,821.35 × 1,985
  4. Step 4: Simplify right side
    5,880.60x = 17,510,379.75
  5. Step 5: Solve for x
    x = 17,510,379.75/5,880.60
  6. Step 6: Final answer
    x = 2,977.65

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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.