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Finding the Fourth Proportional to 4,064.49, 6,094.17 and 1,430.55

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Solution

The fourth proportional to 4,064.49, 6,094.17 and 1,430.55 is: 2,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.49 : 6,094.17 = 1,430.55 : x
  2. Step 2: Convert to fraction form
    4,064.49/6,094.17 = 1,430.55/x
  3. Step 3: Cross multiply
    4,064.49x = 6,094.17 × 1,430.55
  4. Step 4: Simplify right side
    4,064.49x = 8,718,014.89
  5. Step 5: Solve for x
    x = 8,718,014.89/4,064.49
  6. Step 6: Final answer
    x = 2,144.92

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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.