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Finding the Fourth Proportional to 5,574.89, 7,688.90 and 4,738.35

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Solution

The fourth proportional to 5,574.89, 7,688.90 and 4,738.35 is: 6,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.89 : 7,688.90 = 4,738.35 : x
  2. Step 2: Convert to fraction form
    5,574.89/7,688.90 = 4,738.35/x
  3. Step 3: Cross multiply
    5,574.89x = 7,688.90 × 4,738.35
  4. Step 4: Simplify right side
    5,574.89x = 36,432,675.62
  5. Step 5: Solve for x
    x = 36,432,675.62/5,574.89
  6. Step 6: Final answer
    x = 6,535.14

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1.5x scale

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.