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Finding the Fourth Proportional to 5,605.79, 8,406.72 and 1,656

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Solution

The fourth proportional to 5,605.79, 8,406.72 and 1,656 is: 2,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.79 : 8,406.72 = 1,656 : x
  2. Step 2: Convert to fraction form
    5,605.79/8,406.72 = 1,656/x
  3. Step 3: Cross multiply
    5,605.79x = 8,406.72 × 1,656
  4. Step 4: Simplify right side
    5,605.79x = 13,921,528.32
  5. Step 5: Solve for x
    x = 13,921,528.32/5,605.79
  6. Step 6: Final answer
    x = 2,483.42

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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.