Home / 5,265-7,856.66-4,565.16

Finding the Fourth Proportional to 5,265, 7,856.66 and 4,565.16

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Solution

The fourth proportional to 5,265, 7,856.66 and 4,565.16 is: 6,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265 : 7,856.66 = 4,565.16 : x
  2. Step 2: Convert to fraction form
    5,265/7,856.66 = 4,565.16/x
  3. Step 3: Cross multiply
    5,265x = 7,856.66 × 4,565.16
  4. Step 4: Simplify right side
    5,265x = 35,866,921.38
  5. Step 5: Solve for x
    x = 35,866,921.38/5,265
  6. Step 6: Final answer
    x = 6,812.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.