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Finding the Fourth Proportional to 4,985.14, 7,468.93 and 4,442.15

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Solution

The fourth proportional to 4,985.14, 7,468.93 and 4,442.15 is: 6,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.14 : 7,468.93 = 4,442.15 : x
  2. Step 2: Convert to fraction form
    4,985.14/7,468.93 = 4,442.15/x
  3. Step 3: Cross multiply
    4,985.14x = 7,468.93 × 4,442.15
  4. Step 4: Simplify right side
    4,985.14x = 33,178,114.97
  5. Step 5: Solve for x
    x = 33,178,114.97/4,985.14
  6. Step 6: Final answer
    x = 6,655.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.