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Finding the Fourth Proportional to 5,368.74, 7,409.30 and 2,979.46

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Solution

The fourth proportional to 5,368.74, 7,409.30 and 2,979.46 is: 4,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.74 : 7,409.30 = 2,979.46 : x
  2. Step 2: Convert to fraction form
    5,368.74/7,409.30 = 2,979.46/x
  3. Step 3: Cross multiply
    5,368.74x = 7,409.30 × 2,979.46
  4. Step 4: Simplify right side
    5,368.74x = 22,075,712.98
  5. Step 5: Solve for x
    x = 22,075,712.98/5,368.74
  6. Step 6: Final answer
    x = 4,111.90

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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.