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Finding the Fourth Proportional to 4,570.86, 6,856.29 and 1,649.16

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Solution

The fourth proportional to 4,570.86, 6,856.29 and 1,649.16 is: 2,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.86 : 6,856.29 = 1,649.16 : x
  2. Step 2: Convert to fraction form
    4,570.86/6,856.29 = 1,649.16/x
  3. Step 3: Cross multiply
    4,570.86x = 6,856.29 × 1,649.16
  4. Step 4: Simplify right side
    4,570.86x = 11,307,144.93
  5. Step 5: Solve for x
    x = 11,307,144.93/4,570.86
  6. Step 6: Final answer
    x = 2,473.74

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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.