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Finding the Fourth Proportional to 5,222.59, 7,835.51 and 1,712.63

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Solution

The fourth proportional to 5,222.59, 7,835.51 and 1,712.63 is: 2,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.59 : 7,835.51 = 1,712.63 : x
  2. Step 2: Convert to fraction form
    5,222.59/7,835.51 = 1,712.63/x
  3. Step 3: Cross multiply
    5,222.59x = 7,835.51 × 1,712.63
  4. Step 4: Simplify right side
    5,222.59x = 13,419,281.75
  5. Step 5: Solve for x
    x = 13,419,281.75/5,222.59
  6. Step 6: Final answer
    x = 2,569.47

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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.