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Finding the Fourth Proportional to 5,798.40, 8,696.64 and 2,678.28

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Solution

The fourth proportional to 5,798.40, 8,696.64 and 2,678.28 is: 4,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.40 : 8,696.64 = 2,678.28 : x
  2. Step 2: Convert to fraction form
    5,798.40/8,696.64 = 2,678.28/x
  3. Step 3: Cross multiply
    5,798.40x = 8,696.64 × 2,678.28
  4. Step 4: Simplify right side
    5,798.40x = 23,292,036.98
  5. Step 5: Solve for x
    x = 23,292,036.98/5,798.40
  6. Step 6: Final answer
    x = 4,016.98

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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.