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Finding the Fourth Proportional to 5,804.51, 8,706.77 and 1,421.93

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Solution

The fourth proportional to 5,804.51, 8,706.77 and 1,421.93 is: 2,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.51 : 8,706.77 = 1,421.93 : x
  2. Step 2: Convert to fraction form
    5,804.51/8,706.77 = 1,421.93/x
  3. Step 3: Cross multiply
    5,804.51x = 8,706.77 × 1,421.93
  4. Step 4: Simplify right side
    5,804.51x = 12,380,408.97
  5. Step 5: Solve for x
    x = 12,380,408.97/5,804.51
  6. Step 6: Final answer
    x = 2,132.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.