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Finding the Fourth Proportional to 4,700.32, 6,483.12 and 3,021.76

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Solution

The fourth proportional to 4,700.32, 6,483.12 and 3,021.76 is: 4,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.32 : 6,483.12 = 3,021.76 : x
  2. Step 2: Convert to fraction form
    4,700.32/6,483.12 = 3,021.76/x
  3. Step 3: Cross multiply
    4,700.32x = 6,483.12 × 3,021.76
  4. Step 4: Simplify right side
    4,700.32x = 19,590,432.69
  5. Step 5: Solve for x
    x = 19,590,432.69/4,700.32
  6. Step 6: Final answer
    x = 4,167.89

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