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Finding the Fourth Proportional to 4,953.87, 7,430.19 and 2,875

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Solution

The fourth proportional to 4,953.87, 7,430.19 and 2,875 is: 4,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.87 : 7,430.19 = 2,875 : x
  2. Step 2: Convert to fraction form
    4,953.87/7,430.19 = 2,875/x
  3. Step 3: Cross multiply
    4,953.87x = 7,430.19 × 2,875
  4. Step 4: Simplify right side
    4,953.87x = 21,361,796.25
  5. Step 5: Solve for x
    x = 21,361,796.25/4,953.87
  6. Step 6: Final answer
    x = 4,312.15

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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.