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Finding the Fourth Proportional to 5,605.85, 8,407.49 and 1,656.26

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Solution

The fourth proportional to 5,605.85, 8,407.49 and 1,656.26 is: 2,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.85 : 8,407.49 = 1,656.26 : x
  2. Step 2: Convert to fraction form
    5,605.85/8,407.49 = 1,656.26/x
  3. Step 3: Cross multiply
    5,605.85x = 8,407.49 × 1,656.26
  4. Step 4: Simplify right side
    5,605.85x = 13,924,939.07
  5. Step 5: Solve for x
    x = 13,924,939.07/5,605.85
  6. Step 6: Final answer
    x = 2,484.00

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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.