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Finding the Fourth Proportional to 3,798.16, 5,203.51 and 3,656.15

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Solution

The fourth proportional to 3,798.16, 5,203.51 and 3,656.15 is: 5,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.16 : 5,203.51 = 3,656.15 : x
  2. Step 2: Convert to fraction form
    3,798.16/5,203.51 = 3,656.15/x
  3. Step 3: Cross multiply
    3,798.16x = 5,203.51 × 3,656.15
  4. Step 4: Simplify right side
    3,798.16x = 19,024,768.79
  5. Step 5: Solve for x
    x = 19,024,768.79/3,798.16
  6. Step 6: Final answer
    x = 5,008.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.