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Finding the Fourth Proportional to 5,506.74, 8,259.93 and 1,346.77

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Solution

The fourth proportional to 5,506.74, 8,259.93 and 1,346.77 is: 2,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.74 : 8,259.93 = 1,346.77 : x
  2. Step 2: Convert to fraction form
    5,506.74/8,259.93 = 1,346.77/x
  3. Step 3: Cross multiply
    5,506.74x = 8,259.93 × 1,346.77
  4. Step 4: Simplify right side
    5,506.74x = 11,124,225.93
  5. Step 5: Solve for x
    x = 11,124,225.93/5,506.74
  6. Step 6: Final answer
    x = 2,020.11

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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.