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Finding the Fourth Proportional to 5,424.12, 7,488 and 3,746.16

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Solution

The fourth proportional to 5,424.12, 7,488 and 3,746.16 is: 5,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.12 : 7,488 = 3,746.16 : x
  2. Step 2: Convert to fraction form
    5,424.12/7,488 = 3,746.16/x
  3. Step 3: Cross multiply
    5,424.12x = 7,488 × 3,746.16
  4. Step 4: Simplify right side
    5,424.12x = 28,051,246.08
  5. Step 5: Solve for x
    x = 28,051,246.08/5,424.12
  6. Step 6: Final answer
    x = 5,171.58

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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.