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Finding the Fourth Proportional to 5,428.04, 7,494.06 and 4,166.68

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Solution

The fourth proportional to 5,428.04, 7,494.06 and 4,166.68 is: 5,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.04 : 7,494.06 = 4,166.68 : x
  2. Step 2: Convert to fraction form
    5,428.04/7,494.06 = 4,166.68/x
  3. Step 3: Cross multiply
    5,428.04x = 7,494.06 × 4,166.68
  4. Step 4: Simplify right side
    5,428.04x = 31,225,349.92
  5. Step 5: Solve for x
    x = 31,225,349.92/5,428.04
  6. Step 6: Final answer
    x = 5,752.60

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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.