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Finding the Fourth Proportional to 5,047.51, 7,572.53 and 1,760.63

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Solution

The fourth proportional to 5,047.51, 7,572.53 and 1,760.63 is: 2,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.51 : 7,572.53 = 1,760.63 : x
  2. Step 2: Convert to fraction form
    5,047.51/7,572.53 = 1,760.63/x
  3. Step 3: Cross multiply
    5,047.51x = 7,572.53 × 1,760.63
  4. Step 4: Simplify right side
    5,047.51x = 13,332,423.49
  5. Step 5: Solve for x
    x = 13,332,423.49/5,047.51
  6. Step 6: Final answer
    x = 2,641.39

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1.5x scale

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.