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Finding the Fourth Proportional to 5,290.81, 7,300.93 and 2,900.40

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Solution

The fourth proportional to 5,290.81, 7,300.93 and 2,900.40 is: 4,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.81 : 7,300.93 = 2,900.40 : x
  2. Step 2: Convert to fraction form
    5,290.81/7,300.93 = 2,900.40/x
  3. Step 3: Cross multiply
    5,290.81x = 7,300.93 × 2,900.40
  4. Step 4: Simplify right side
    5,290.81x = 21,175,617.37
  5. Step 5: Solve for x
    x = 21,175,617.37/5,290.81
  6. Step 6: Final answer
    x = 4,002.34

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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.