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Finding the Fourth Proportional to 4,763.80, 6,585.06 and 3,973.24

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Solution

The fourth proportional to 4,763.80, 6,585.06 and 3,973.24 is: 5,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.80 : 6,585.06 = 3,973.24 : x
  2. Step 2: Convert to fraction form
    4,763.80/6,585.06 = 3,973.24/x
  3. Step 3: Cross multiply
    4,763.80x = 6,585.06 × 3,973.24
  4. Step 4: Simplify right side
    4,763.80x = 26,164,023.79
  5. Step 5: Solve for x
    x = 26,164,023.79/4,763.80
  6. Step 6: Final answer
    x = 5,492.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.