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Finding the Fourth Proportional to 4,574.99, 6,863.63 and 2,111.53

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Solution

The fourth proportional to 4,574.99, 6,863.63 and 2,111.53 is: 3,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.99 : 6,863.63 = 2,111.53 : x
  2. Step 2: Convert to fraction form
    4,574.99/6,863.63 = 2,111.53/x
  3. Step 3: Cross multiply
    4,574.99x = 6,863.63 × 2,111.53
  4. Step 4: Simplify right side
    4,574.99x = 14,492,750.10
  5. Step 5: Solve for x
    x = 14,492,750.10/4,574.99
  6. Step 6: Final answer
    x = 3,167.82

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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.