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Finding the Fourth Proportional to 4,207.34, 5,806.10 and 2,319

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Solution

The fourth proportional to 4,207.34, 5,806.10 and 2,319 is: 3,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.34 : 5,806.10 = 2,319 : x
  2. Step 2: Convert to fraction form
    4,207.34/5,806.10 = 2,319/x
  3. Step 3: Cross multiply
    4,207.34x = 5,806.10 × 2,319
  4. Step 4: Simplify right side
    4,207.34x = 13,464,334.31
  5. Step 5: Solve for x
    x = 13,464,334.31/4,207.34
  6. Step 6: Final answer
    x = 3,200.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.