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Finding the Fourth Proportional to 4,866.64, 7,301.03 and 1,580.08

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Solution

The fourth proportional to 4,866.64, 7,301.03 and 1,580.08 is: 2,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.64 : 7,301.03 = 1,580.08 : x
  2. Step 2: Convert to fraction form
    4,866.64/7,301.03 = 1,580.08/x
  3. Step 3: Cross multiply
    4,866.64x = 7,301.03 × 1,580.08
  4. Step 4: Simplify right side
    4,866.64x = 11,536,211.48
  5. Step 5: Solve for x
    x = 11,536,211.48/4,866.64
  6. Step 6: Final answer
    x = 2,370.47

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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.