Home / 5,102.13-7,646.85-2,328.06

Finding the Fourth Proportional to 5,102.13, 7,646.85 and 2,328.06

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Solution

The fourth proportional to 5,102.13, 7,646.85 and 2,328.06 is: 3,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.13 : 7,646.85 = 2,328.06 : x
  2. Step 2: Convert to fraction form
    5,102.13/7,646.85 = 2,328.06/x
  3. Step 3: Cross multiply
    5,102.13x = 7,646.85 × 2,328.06
  4. Step 4: Simplify right side
    5,102.13x = 17,802,325.61
  5. Step 5: Solve for x
    x = 17,802,325.61/5,102.13
  6. Step 6: Final answer
    x = 3,489.19

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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.