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Finding the Fourth Proportional to 4,159.48, 5,741.03 and 2,588.48

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Solution

The fourth proportional to 4,159.48, 5,741.03 and 2,588.48 is: 3,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.48 : 5,741.03 = 2,588.48 : x
  2. Step 2: Convert to fraction form
    4,159.48/5,741.03 = 2,588.48/x
  3. Step 3: Cross multiply
    4,159.48x = 5,741.03 × 2,588.48
  4. Step 4: Simplify right side
    4,159.48x = 14,860,542.22
  5. Step 5: Solve for x
    x = 14,860,542.22/4,159.48
  6. Step 6: Final answer
    x = 3,572.70

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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.