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Finding the Fourth Proportional to 5,159.16, 7,739.28 and 2,386.08

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Solution

The fourth proportional to 5,159.16, 7,739.28 and 2,386.08 is: 3,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.16 : 7,739.28 = 2,386.08 : x
  2. Step 2: Convert to fraction form
    5,159.16/7,739.28 = 2,386.08/x
  3. Step 3: Cross multiply
    5,159.16x = 7,739.28 × 2,386.08
  4. Step 4: Simplify right side
    5,159.16x = 18,466,541.22
  5. Step 5: Solve for x
    x = 18,466,541.22/5,159.16
  6. Step 6: Final answer
    x = 3,579.37

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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.