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Finding the Fourth Proportional to 5,488.05, 7,570.42 and 3,470.84

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Solution

The fourth proportional to 5,488.05, 7,570.42 and 3,470.84 is: 4,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.05 : 7,570.42 = 3,470.84 : x
  2. Step 2: Convert to fraction form
    5,488.05/7,570.42 = 3,470.84/x
  3. Step 3: Cross multiply
    5,488.05x = 7,570.42 × 3,470.84
  4. Step 4: Simplify right side
    5,488.05x = 26,275,699.20
  5. Step 5: Solve for x
    x = 26,275,699.20/5,488.05
  6. Step 6: Final answer
    x = 4,787.80

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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.