Home / 5,102.13-7,652.48-1,638.93

Finding the Fourth Proportional to 5,102.13, 7,652.48 and 1,638.93

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Solution

The fourth proportional to 5,102.13, 7,652.48 and 1,638.93 is: 2,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.13 : 7,652.48 = 1,638.93 : x
  2. Step 2: Convert to fraction form
    5,102.13/7,652.48 = 1,638.93/x
  3. Step 3: Cross multiply
    5,102.13x = 7,652.48 × 1,638.93
  4. Step 4: Simplify right side
    5,102.13x = 12,541,870.85
  5. Step 5: Solve for x
    x = 12,541,870.85/5,102.13
  6. Step 6: Final answer
    x = 2,458.16

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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.