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Finding the Fourth Proportional to 3,412.07, 5,117.43 and 1,071.76

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Solution

The fourth proportional to 3,412.07, 5,117.43 and 1,071.76 is: 1,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.07 : 5,117.43 = 1,071.76 : x
  2. Step 2: Convert to fraction form
    3,412.07/5,117.43 = 1,071.76/x
  3. Step 3: Cross multiply
    3,412.07x = 5,117.43 × 1,071.76
  4. Step 4: Simplify right side
    3,412.07x = 5,484,637.18
  5. Step 5: Solve for x
    x = 5,484,637.18/3,412.07
  6. Step 6: Final answer
    x = 1,607.42

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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.