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Finding the Fourth Proportional to 5,254.40, 7,882.62 and 1,506.20

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Solution

The fourth proportional to 5,254.40, 7,882.62 and 1,506.20 is: 2,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.40 : 7,882.62 = 1,506.20 : x
  2. Step 2: Convert to fraction form
    5,254.40/7,882.62 = 1,506.20/x
  3. Step 3: Cross multiply
    5,254.40x = 7,882.62 × 1,506.20
  4. Step 4: Simplify right side
    5,254.40x = 11,872,802.24
  5. Step 5: Solve for x
    x = 11,872,802.24/5,254.40
  6. Step 6: Final answer
    x = 2,259.59

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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.