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Finding the Fourth Proportional to 4,904.80, 7,360.80 and 3,058.64

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Solution

The fourth proportional to 4,904.80, 7,360.80 and 3,058.64 is: 4,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.80 : 7,360.80 = 3,058.64 : x
  2. Step 2: Convert to fraction form
    4,904.80/7,360.80 = 3,058.64/x
  3. Step 3: Cross multiply
    4,904.80x = 7,360.80 × 3,058.64
  4. Step 4: Simplify right side
    4,904.80x = 22,514,037.31
  5. Step 5: Solve for x
    x = 22,514,037.31/4,904.80
  6. Step 6: Final answer
    x = 4,590.20

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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.