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Finding the Fourth Proportional to 6,088.52, 9,132.82 and 1,705.98

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Solution

The fourth proportional to 6,088.52, 9,132.82 and 1,705.98 is: 2,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.52 : 9,132.82 = 1,705.98 : x
  2. Step 2: Convert to fraction form
    6,088.52/9,132.82 = 1,705.98/x
  3. Step 3: Cross multiply
    6,088.52x = 9,132.82 × 1,705.98
  4. Step 4: Simplify right side
    6,088.52x = 15,580,408.26
  5. Step 5: Solve for x
    x = 15,580,408.26/6,088.52
  6. Step 6: Final answer
    x = 2,558.98

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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.