Home / 4,023.83-6,038.10-1,683.64

Finding the Fourth Proportional to 4,023.83, 6,038.10 and 1,683.64

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Solution

The fourth proportional to 4,023.83, 6,038.10 and 1,683.64 is: 2,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.83 : 6,038.10 = 1,683.64 : x
  2. Step 2: Convert to fraction form
    4,023.83/6,038.10 = 1,683.64/x
  3. Step 3: Cross multiply
    4,023.83x = 6,038.10 × 1,683.64
  4. Step 4: Simplify right side
    4,023.83x = 10,165,967.38
  5. Step 5: Solve for x
    x = 10,165,967.38/4,023.83
  6. Step 6: Final answer
    x = 2,526.44

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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.