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Finding the Fourth Proportional to 6,026.34, 9,035.70 and 2,907.15

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Solution

The fourth proportional to 6,026.34, 9,035.70 and 2,907.15 is: 4,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.34 : 9,035.70 = 2,907.15 : x
  2. Step 2: Convert to fraction form
    6,026.34/9,035.70 = 2,907.15/x
  3. Step 3: Cross multiply
    6,026.34x = 9,035.70 × 2,907.15
  4. Step 4: Simplify right side
    6,026.34x = 26,268,135.26
  5. Step 5: Solve for x
    x = 26,268,135.26/6,026.34
  6. Step 6: Final answer
    x = 4,358.89

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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.