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Finding the Fourth Proportional to 3,172.55, 4,759.95 and 1,417.39

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Solution

The fourth proportional to 3,172.55, 4,759.95 and 1,417.39 is: 2,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.55 : 4,759.95 = 1,417.39 : x
  2. Step 2: Convert to fraction form
    3,172.55/4,759.95 = 1,417.39/x
  3. Step 3: Cross multiply
    3,172.55x = 4,759.95 × 1,417.39
  4. Step 4: Simplify right side
    3,172.55x = 6,746,701.99
  5. Step 5: Solve for x
    x = 6,746,701.99/3,172.55
  6. Step 6: Final answer
    x = 2,126.59

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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.