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Finding the Fourth Proportional to 4,577, 6,865.74 and 1,499

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Solution

The fourth proportional to 4,577, 6,865.74 and 1,499 is: 2,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577 : 6,865.74 = 1,499 : x
  2. Step 2: Convert to fraction form
    4,577/6,865.74 = 1,499/x
  3. Step 3: Cross multiply
    4,577x = 6,865.74 × 1,499
  4. Step 4: Simplify right side
    4,577x = 10,291,744.26
  5. Step 5: Solve for x
    x = 10,291,744.26/4,577
  6. Step 6: Final answer
    x = 2,248.58

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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.