Home / 5,022.75-7,534.14-1,560

Finding the Fourth Proportional to 5,022.75, 7,534.14 and 1,560

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Solution

The fourth proportional to 5,022.75, 7,534.14 and 1,560 is: 2,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.75 : 7,534.14 = 1,560 : x
  2. Step 2: Convert to fraction form
    5,022.75/7,534.14 = 1,560/x
  3. Step 3: Cross multiply
    5,022.75x = 7,534.14 × 1,560
  4. Step 4: Simplify right side
    5,022.75x = 11,753,258.40
  5. Step 5: Solve for x
    x = 11,753,258.40/5,022.75
  6. Step 6: Final answer
    x = 2,340.00

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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.