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Finding the Fourth Proportional to 5,186.16, 7,779.44 and 4,411.53

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Solution

The fourth proportional to 5,186.16, 7,779.44 and 4,411.53 is: 6,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.16 : 7,779.44 = 4,411.53 : x
  2. Step 2: Convert to fraction form
    5,186.16/7,779.44 = 4,411.53/x
  3. Step 3: Cross multiply
    5,186.16x = 7,779.44 × 4,411.53
  4. Step 4: Simplify right side
    5,186.16x = 34,319,243.97
  5. Step 5: Solve for x
    x = 34,319,243.97/5,186.16
  6. Step 6: Final answer
    x = 6,617.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.