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Finding the Fourth Proportional to 3,134.29, 4,698.87 and 1,572.41

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Solution

The fourth proportional to 3,134.29, 4,698.87 and 1,572.41 is: 2,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.29 : 4,698.87 = 1,572.41 : x
  2. Step 2: Convert to fraction form
    3,134.29/4,698.87 = 1,572.41/x
  3. Step 3: Cross multiply
    3,134.29x = 4,698.87 × 1,572.41
  4. Step 4: Simplify right side
    3,134.29x = 7,388,547.25
  5. Step 5: Solve for x
    x = 7,388,547.25/3,134.29
  6. Step 6: Final answer
    x = 2,357.33

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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.