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Finding the Fourth Proportional to 3,470.14, 4,788.61 and 1,897.93

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Solution

The fourth proportional to 3,470.14, 4,788.61 and 1,897.93 is: 2,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.14 : 4,788.61 = 1,897.93 : x
  2. Step 2: Convert to fraction form
    3,470.14/4,788.61 = 1,897.93/x
  3. Step 3: Cross multiply
    3,470.14x = 4,788.61 × 1,897.93
  4. Step 4: Simplify right side
    3,470.14x = 9,088,446.58
  5. Step 5: Solve for x
    x = 9,088,446.58/3,470.14
  6. Step 6: Final answer
    x = 2,619.04

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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.