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Finding the Fourth Proportional to 4,569.75, 6,854.63 and 1,974.51

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Solution

The fourth proportional to 4,569.75, 6,854.63 and 1,974.51 is: 2,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.75 : 6,854.63 = 1,974.51 : x
  2. Step 2: Convert to fraction form
    4,569.75/6,854.63 = 1,974.51/x
  3. Step 3: Cross multiply
    4,569.75x = 6,854.63 × 1,974.51
  4. Step 4: Simplify right side
    4,569.75x = 13,534,525.61
  5. Step 5: Solve for x
    x = 13,534,525.61/4,569.75
  6. Step 6: Final answer
    x = 2,961.77

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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.