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Finding the Fourth Proportional to 4,470.90, 6,703.65 and 2,005.26

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Solution

The fourth proportional to 4,470.90, 6,703.65 and 2,005.26 is: 3,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.90 : 6,703.65 = 2,005.26 : x
  2. Step 2: Convert to fraction form
    4,470.90/6,703.65 = 2,005.26/x
  3. Step 3: Cross multiply
    4,470.90x = 6,703.65 × 2,005.26
  4. Step 4: Simplify right side
    4,470.90x = 13,442,561.20
  5. Step 5: Solve for x
    x = 13,442,561.20/4,470.90
  6. Step 6: Final answer
    x = 3,006.68

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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.