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Finding the Fourth Proportional to 5,798.48, 8,007.58 and 4,954.24

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Solution

The fourth proportional to 5,798.48, 8,007.58 and 4,954.24 is: 6,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.48 : 8,007.58 = 4,954.24 : x
  2. Step 2: Convert to fraction form
    5,798.48/8,007.58 = 4,954.24/x
  3. Step 3: Cross multiply
    5,798.48x = 8,007.58 × 4,954.24
  4. Step 4: Simplify right side
    5,798.48x = 39,671,473.14
  5. Step 5: Solve for x
    x = 39,671,473.14/5,798.48
  6. Step 6: Final answer
    x = 6,841.70

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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.