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Finding the Fourth Proportional to 5,632.46, 7,773.45 and 4,686.58

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Solution

The fourth proportional to 5,632.46, 7,773.45 and 4,686.58 is: 6,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.46 : 7,773.45 = 4,686.58 : x
  2. Step 2: Convert to fraction form
    5,632.46/7,773.45 = 4,686.58/x
  3. Step 3: Cross multiply
    5,632.46x = 7,773.45 × 4,686.58
  4. Step 4: Simplify right side
    5,632.46x = 36,430,895.30
  5. Step 5: Solve for x
    x = 36,430,895.30/5,632.46
  6. Step 6: Final answer
    x = 6,468.03

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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.