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Finding the Fourth Proportional to 5,804.52, 8,705.16 and 1,855.77

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Solution

The fourth proportional to 5,804.52, 8,705.16 and 1,855.77 is: 2,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.52 : 8,705.16 = 1,855.77 : x
  2. Step 2: Convert to fraction form
    5,804.52/8,705.16 = 1,855.77/x
  3. Step 3: Cross multiply
    5,804.52x = 8,705.16 × 1,855.77
  4. Step 4: Simplify right side
    5,804.52x = 16,154,774.77
  5. Step 5: Solve for x
    x = 16,154,774.77/5,804.52
  6. Step 6: Final answer
    x = 2,783.14

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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.