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Finding the Fourth Proportional to 5,406.08, 7,460.64 and 3,048.32

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Solution

The fourth proportional to 5,406.08, 7,460.64 and 3,048.32 is: 4,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.08 : 7,460.64 = 3,048.32 : x
  2. Step 2: Convert to fraction form
    5,406.08/7,460.64 = 3,048.32/x
  3. Step 3: Cross multiply
    5,406.08x = 7,460.64 × 3,048.32
  4. Step 4: Simplify right side
    5,406.08x = 22,742,418.12
  5. Step 5: Solve for x
    x = 22,742,418.12/5,406.08
  6. Step 6: Final answer
    x = 4,206.82

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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.