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Finding the Fourth Proportional to 5,056.95, 6,978.92 and 3,482.31

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Solution

The fourth proportional to 5,056.95, 6,978.92 and 3,482.31 is: 4,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.95 : 6,978.92 = 3,482.31 : x
  2. Step 2: Convert to fraction form
    5,056.95/6,978.92 = 3,482.31/x
  3. Step 3: Cross multiply
    5,056.95x = 6,978.92 × 3,482.31
  4. Step 4: Simplify right side
    5,056.95x = 24,302,762.91
  5. Step 5: Solve for x
    x = 24,302,762.91/5,056.95
  6. Step 6: Final answer
    x = 4,805.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.