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Finding the Fourth Proportional to 6,102.90, 9,154.32 and 1,720.35

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Solution

The fourth proportional to 6,102.90, 9,154.32 and 1,720.35 is: 2,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.90 : 9,154.32 = 1,720.35 : x
  2. Step 2: Convert to fraction form
    6,102.90/9,154.32 = 1,720.35/x
  3. Step 3: Cross multiply
    6,102.90x = 9,154.32 × 1,720.35
  4. Step 4: Simplify right side
    6,102.90x = 15,748,634.41
  5. Step 5: Solve for x
    x = 15,748,634.41/6,102.90
  6. Step 6: Final answer
    x = 2,580.52

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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.