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Finding the Fourth Proportional to 5,442.60, 7,510.14 and 3,204.30

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Solution

The fourth proportional to 5,442.60, 7,510.14 and 3,204.30 is: 4,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.60 : 7,510.14 = 3,204.30 : x
  2. Step 2: Convert to fraction form
    5,442.60/7,510.14 = 3,204.30/x
  3. Step 3: Cross multiply
    5,442.60x = 7,510.14 × 3,204.30
  4. Step 4: Simplify right side
    5,442.60x = 24,064,741.60
  5. Step 5: Solve for x
    x = 24,064,741.60/5,442.60
  6. Step 6: Final answer
    x = 4,421.55

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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.