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Finding the Fourth Proportional to 5,475.96, 7,549.29 and 4,130.97

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Solution

The fourth proportional to 5,475.96, 7,549.29 and 4,130.97 is: 5,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.96 : 7,549.29 = 4,130.97 : x
  2. Step 2: Convert to fraction form
    5,475.96/7,549.29 = 4,130.97/x
  3. Step 3: Cross multiply
    5,475.96x = 7,549.29 × 4,130.97
  4. Step 4: Simplify right side
    5,475.96x = 31,185,890.51
  5. Step 5: Solve for x
    x = 31,185,890.51/5,475.96
  6. Step 6: Final answer
    x = 5,695.05

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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.