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Finding the Fourth Proportional to 5,804.48, 8,703.12 and 1,907.84

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Solution

The fourth proportional to 5,804.48, 8,703.12 and 1,907.84 is: 2,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.48 : 8,703.12 = 1,907.84 : x
  2. Step 2: Convert to fraction form
    5,804.48/8,703.12 = 1,907.84/x
  3. Step 3: Cross multiply
    5,804.48x = 8,703.12 × 1,907.84
  4. Step 4: Simplify right side
    5,804.48x = 16,604,160.46
  5. Step 5: Solve for x
    x = 16,604,160.46/5,804.48
  6. Step 6: Final answer
    x = 2,860.58

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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.