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Finding the Fourth Proportional to 5,854.86, 8,774.55 and 3,075.86

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Solution

The fourth proportional to 5,854.86, 8,774.55 and 3,075.86 is: 4,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.86 : 8,774.55 = 3,075.86 : x
  2. Step 2: Convert to fraction form
    5,854.86/8,774.55 = 3,075.86/x
  3. Step 3: Cross multiply
    5,854.86x = 8,774.55 × 3,075.86
  4. Step 4: Simplify right side
    5,854.86x = 26,989,243.49
  5. Step 5: Solve for x
    x = 26,989,243.49/5,854.86
  6. Step 6: Final answer
    x = 4,609.72

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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.