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Finding the Fourth Proportional to 5,102.70, 7,041.78 and 3,334.32

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Solution

The fourth proportional to 5,102.70, 7,041.78 and 3,334.32 is: 4,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.70 : 7,041.78 = 3,334.32 : x
  2. Step 2: Convert to fraction form
    5,102.70/7,041.78 = 3,334.32/x
  3. Step 3: Cross multiply
    5,102.70x = 7,041.78 × 3,334.32
  4. Step 4: Simplify right side
    5,102.70x = 23,479,547.89
  5. Step 5: Solve for x
    x = 23,479,547.89/5,102.70
  6. Step 6: Final answer
    x = 4,601.40

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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.