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Finding the Fourth Proportional to 4,700.40, 6,483.43 and 3,023.92

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Solution

The fourth proportional to 4,700.40, 6,483.43 and 3,023.92 is: 4,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.40 : 6,483.43 = 3,023.92 : x
  2. Step 2: Convert to fraction form
    4,700.40/6,483.43 = 3,023.92/x
  3. Step 3: Cross multiply
    4,700.40x = 6,483.43 × 3,023.92
  4. Step 4: Simplify right side
    4,700.40x = 19,605,373.65
  5. Step 5: Solve for x
    x = 19,605,373.65/4,700.40
  6. Step 6: Final answer
    x = 4,171.00

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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.