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Finding the Fourth Proportional to 5,577.41, 7,686.68 and 5,417.48

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Solution

The fourth proportional to 5,577.41, 7,686.68 and 5,417.48 is: 7,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.41 : 7,686.68 = 5,417.48 : x
  2. Step 2: Convert to fraction form
    5,577.41/7,686.68 = 5,417.48/x
  3. Step 3: Cross multiply
    5,577.41x = 7,686.68 × 5,417.48
  4. Step 4: Simplify right side
    5,577.41x = 41,642,369.65
  5. Step 5: Solve for x
    x = 41,642,369.65/5,577.41
  6. Step 6: Final answer
    x = 7,466.26

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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.