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Finding the Fourth Proportional to 5,869.50, 8,804.30 and 1,486.96

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Solution

The fourth proportional to 5,869.50, 8,804.30 and 1,486.96 is: 2,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.50 : 8,804.30 = 1,486.96 : x
  2. Step 2: Convert to fraction form
    5,869.50/8,804.30 = 1,486.96/x
  3. Step 3: Cross multiply
    5,869.50x = 8,804.30 × 1,486.96
  4. Step 4: Simplify right side
    5,869.50x = 13,091,641.93
  5. Step 5: Solve for x
    x = 13,091,641.93/5,869.50
  6. Step 6: Final answer
    x = 2,230.45

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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.