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Finding the Fourth Proportional to 5,772.10, 7,981.05 and 5,034.01

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Solution

The fourth proportional to 5,772.10, 7,981.05 and 5,034.01 is: 6,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.10 : 7,981.05 = 5,034.01 : x
  2. Step 2: Convert to fraction form
    5,772.10/7,981.05 = 5,034.01/x
  3. Step 3: Cross multiply
    5,772.10x = 7,981.05 × 5,034.01
  4. Step 4: Simplify right side
    5,772.10x = 40,176,685.51
  5. Step 5: Solve for x
    x = 40,176,685.51/5,772.10
  6. Step 6: Final answer
    x = 6,960.50

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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.