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Finding the Fourth Proportional to 5,630.09, 7,767.63 and 3,643.16

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Solution

The fourth proportional to 5,630.09, 7,767.63 and 3,643.16 is: 5,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.09 : 7,767.63 = 3,643.16 : x
  2. Step 2: Convert to fraction form
    5,630.09/7,767.63 = 3,643.16/x
  3. Step 3: Cross multiply
    5,630.09x = 7,767.63 × 3,643.16
  4. Step 4: Simplify right side
    5,630.09x = 28,298,718.91
  5. Step 5: Solve for x
    x = 28,298,718.91/5,630.09
  6. Step 6: Final answer
    x = 5,026.34

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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.