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Finding the Fourth Proportional to 5,844.48, 8,762.24 and 2,379.52

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Solution

The fourth proportional to 5,844.48, 8,762.24 and 2,379.52 is: 3,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.48 : 8,762.24 = 2,379.52 : x
  2. Step 2: Convert to fraction form
    5,844.48/8,762.24 = 2,379.52/x
  3. Step 3: Cross multiply
    5,844.48x = 8,762.24 × 2,379.52
  4. Step 4: Simplify right side
    5,844.48x = 20,849,925.32
  5. Step 5: Solve for x
    x = 20,849,925.32/5,844.48
  6. Step 6: Final answer
    x = 3,567.46

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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.