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Finding the Fourth Proportional to 5,616.96, 7,758.30 and 4,206.95

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Solution

The fourth proportional to 5,616.96, 7,758.30 and 4,206.95 is: 5,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.96 : 7,758.30 = 4,206.95 : x
  2. Step 2: Convert to fraction form
    5,616.96/7,758.30 = 4,206.95/x
  3. Step 3: Cross multiply
    5,616.96x = 7,758.30 × 4,206.95
  4. Step 4: Simplify right side
    5,616.96x = 32,638,741.39
  5. Step 5: Solve for x
    x = 32,638,741.39/5,616.96
  6. Step 6: Final answer
    x = 5,810.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.