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Finding the Fourth Proportional to 5,620, 8,429.96 and 1,460

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Solution

The fourth proportional to 5,620, 8,429.96 and 1,460 is: 2,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620 : 8,429.96 = 1,460 : x
  2. Step 2: Convert to fraction form
    5,620/8,429.96 = 1,460/x
  3. Step 3: Cross multiply
    5,620x = 8,429.96 × 1,460
  4. Step 4: Simplify right side
    5,620x = 12,307,741.60
  5. Step 5: Solve for x
    x = 12,307,741.60/5,620
  6. Step 6: Final answer
    x = 2,189.99

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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.