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Finding the Fourth Proportional to 5,498.32, 7,580.04 and 4,655.68

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Solution

The fourth proportional to 5,498.32, 7,580.04 and 4,655.68 is: 6,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.32 : 7,580.04 = 4,655.68 : x
  2. Step 2: Convert to fraction form
    5,498.32/7,580.04 = 4,655.68/x
  3. Step 3: Cross multiply
    5,498.32x = 7,580.04 × 4,655.68
  4. Step 4: Simplify right side
    5,498.32x = 35,290,240.63
  5. Step 5: Solve for x
    x = 35,290,240.63/5,498.32
  6. Step 6: Final answer
    x = 6,418.37

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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.