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Finding the Fourth Proportional to 5,799.58, 8,699.34 and 1,417.06

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Solution

The fourth proportional to 5,799.58, 8,699.34 and 1,417.06 is: 2,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.58 : 8,699.34 = 1,417.06 : x
  2. Step 2: Convert to fraction form
    5,799.58/8,699.34 = 1,417.06/x
  3. Step 3: Cross multiply
    5,799.58x = 8,699.34 × 1,417.06
  4. Step 4: Simplify right side
    5,799.58x = 12,327,486.74
  5. Step 5: Solve for x
    x = 12,327,486.74/5,799.58
  6. Step 6: Final answer
    x = 2,125.58

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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.