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Finding the Fourth Proportional to 4,574.95, 6,862.42 and 1,653.25

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Solution

The fourth proportional to 4,574.95, 6,862.42 and 1,653.25 is: 2,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.95 : 6,862.42 = 1,653.25 : x
  2. Step 2: Convert to fraction form
    4,574.95/6,862.42 = 1,653.25/x
  3. Step 3: Cross multiply
    4,574.95x = 6,862.42 × 1,653.25
  4. Step 4: Simplify right side
    4,574.95x = 11,345,295.87
  5. Step 5: Solve for x
    x = 11,345,295.87/4,574.95
  6. Step 6: Final answer
    x = 2,479.87

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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.