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Finding the Fourth Proportional to 5,259.40, 7,889.10 and 3,315.40

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Solution

The fourth proportional to 5,259.40, 7,889.10 and 3,315.40 is: 4,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.40 : 7,889.10 = 3,315.40 : x
  2. Step 2: Convert to fraction form
    5,259.40/7,889.10 = 3,315.40/x
  3. Step 3: Cross multiply
    5,259.40x = 7,889.10 × 3,315.40
  4. Step 4: Simplify right side
    5,259.40x = 26,155,522.14
  5. Step 5: Solve for x
    x = 26,155,522.14/5,259.40
  6. Step 6: Final answer
    x = 4,973.10

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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.