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Finding the Fourth Proportional to 3,176.47, 4,765.04 and 3,126.39

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Solution

The fourth proportional to 3,176.47, 4,765.04 and 3,126.39 is: 4,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.47 : 4,765.04 = 3,126.39 : x
  2. Step 2: Convert to fraction form
    3,176.47/4,765.04 = 3,126.39/x
  3. Step 3: Cross multiply
    3,176.47x = 4,765.04 × 3,126.39
  4. Step 4: Simplify right side
    3,176.47x = 14,897,373.41
  5. Step 5: Solve for x
    x = 14,897,373.41/3,176.47
  6. Step 6: Final answer
    x = 4,689.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.