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Finding the Fourth Proportional to 2,594.71, 3,873.58 and 2,503.58

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Solution

The fourth proportional to 2,594.71, 3,873.58 and 2,503.58 is: 3,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.71 : 3,873.58 = 2,503.58 : x
  2. Step 2: Convert to fraction form
    2,594.71/3,873.58 = 2,503.58/x
  3. Step 3: Cross multiply
    2,594.71x = 3,873.58 × 2,503.58
  4. Step 4: Simplify right side
    2,594.71x = 9,697,817.42
  5. Step 5: Solve for x
    x = 9,697,817.42/2,594.71
  6. Step 6: Final answer
    x = 3,737.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.