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Finding the Fourth Proportional to 5,799.54, 8,699.25 and 1,417.02

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Solution

The fourth proportional to 5,799.54, 8,699.25 and 1,417.02 is: 2,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.54 : 8,699.25 = 1,417.02 : x
  2. Step 2: Convert to fraction form
    5,799.54/8,699.25 = 1,417.02/x
  3. Step 3: Cross multiply
    5,799.54x = 8,699.25 × 1,417.02
  4. Step 4: Simplify right side
    5,799.54x = 12,327,011.24
  5. Step 5: Solve for x
    x = 12,327,011.24/5,799.54
  6. Step 6: Final answer
    x = 2,125.52

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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.