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Finding the Fourth Proportional to 4,470.66, 6,705.99 and 2,004.93

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Solution

The fourth proportional to 4,470.66, 6,705.99 and 2,004.93 is: 3,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.66 : 6,705.99 = 2,004.93 : x
  2. Step 2: Convert to fraction form
    4,470.66/6,705.99 = 2,004.93/x
  3. Step 3: Cross multiply
    4,470.66x = 6,705.99 × 2,004.93
  4. Step 4: Simplify right side
    4,470.66x = 13,445,040.53
  5. Step 5: Solve for x
    x = 13,445,040.53/4,470.66
  6. Step 6: Final answer
    x = 3,007.40

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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.