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Finding the Fourth Proportional to 5,261.88, 7,275.24 and 5,178.72

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Solution

The fourth proportional to 5,261.88, 7,275.24 and 5,178.72 is: 7,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.88 : 7,275.24 = 5,178.72 : x
  2. Step 2: Convert to fraction form
    5,261.88/7,275.24 = 5,178.72/x
  3. Step 3: Cross multiply
    5,261.88x = 7,275.24 × 5,178.72
  4. Step 4: Simplify right side
    5,261.88x = 37,676,430.89
  5. Step 5: Solve for x
    x = 37,676,430.89/5,261.88
  6. Step 6: Final answer
    x = 7,160.26

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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.