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Finding the Fourth Proportional to 4,870.50, 7,302.10 and 1,581.63

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Solution

The fourth proportional to 4,870.50, 7,302.10 and 1,581.63 is: 2,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.50 : 7,302.10 = 1,581.63 : x
  2. Step 2: Convert to fraction form
    4,870.50/7,302.10 = 1,581.63/x
  3. Step 3: Cross multiply
    4,870.50x = 7,302.10 × 1,581.63
  4. Step 4: Simplify right side
    4,870.50x = 11,549,220.42
  5. Step 5: Solve for x
    x = 11,549,220.42/4,870.50
  6. Step 6: Final answer
    x = 2,371.26

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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.