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Finding the Fourth Proportional to 5,124.30, 7,686.14 and 1,427.06

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Solution

The fourth proportional to 5,124.30, 7,686.14 and 1,427.06 is: 2,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.30 : 7,686.14 = 1,427.06 : x
  2. Step 2: Convert to fraction form
    5,124.30/7,686.14 = 1,427.06/x
  3. Step 3: Cross multiply
    5,124.30x = 7,686.14 × 1,427.06
  4. Step 4: Simplify right side
    5,124.30x = 10,968,544.52
  5. Step 5: Solve for x
    x = 10,968,544.52/5,124.30
  6. Step 6: Final answer
    x = 2,140.50

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Why These Related Problems?

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