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Finding the Fourth Proportional to 5,460.07, 7,534.86 and 3,102.21

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Solution

The fourth proportional to 5,460.07, 7,534.86 and 3,102.21 is: 4,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.07 : 7,534.86 = 3,102.21 : x
  2. Step 2: Convert to fraction form
    5,460.07/7,534.86 = 3,102.21/x
  3. Step 3: Cross multiply
    5,460.07x = 7,534.86 × 3,102.21
  4. Step 4: Simplify right side
    5,460.07x = 23,374,702.53
  5. Step 5: Solve for x
    x = 23,374,702.53/5,460.07
  6. Step 6: Final answer
    x = 4,281.03

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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.