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Finding the Fourth Proportional to 4,686.72, 7,024.64 and 1,763.16

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Solution

The fourth proportional to 4,686.72, 7,024.64 and 1,763.16 is: 2,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.72 : 7,024.64 = 1,763.16 : x
  2. Step 2: Convert to fraction form
    4,686.72/7,024.64 = 1,763.16/x
  3. Step 3: Cross multiply
    4,686.72x = 7,024.64 × 1,763.16
  4. Step 4: Simplify right side
    4,686.72x = 12,385,564.26
  5. Step 5: Solve for x
    x = 12,385,564.26/4,686.72
  6. Step 6: Final answer
    x = 2,642.69

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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.