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Finding the Fourth Proportional to 5,460.32, 7,537.78 and 4,116.47

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Solution

The fourth proportional to 5,460.32, 7,537.78 and 4,116.47 is: 5,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.32 : 7,537.78 = 4,116.47 : x
  2. Step 2: Convert to fraction form
    5,460.32/7,537.78 = 4,116.47/x
  3. Step 3: Cross multiply
    5,460.32x = 7,537.78 × 4,116.47
  4. Step 4: Simplify right side
    5,460.32x = 31,029,045.24
  5. Step 5: Solve for x
    x = 31,029,045.24/5,460.32
  6. Step 6: Final answer
    x = 5,682.64

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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.