Home / 5,223.74-7,830.10-1,712.83

Finding the Fourth Proportional to 5,223.74, 7,830.10 and 1,712.83

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Solution

The fourth proportional to 5,223.74, 7,830.10 and 1,712.83 is: 2,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.74 : 7,830.10 = 1,712.83 : x
  2. Step 2: Convert to fraction form
    5,223.74/7,830.10 = 1,712.83/x
  3. Step 3: Cross multiply
    5,223.74x = 7,830.10 × 1,712.83
  4. Step 4: Simplify right side
    5,223.74x = 13,411,627.43
  5. Step 5: Solve for x
    x = 13,411,627.43/5,223.74
  6. Step 6: Final answer
    x = 2,567.44

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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.