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Finding the Fourth Proportional to 4,686.44, 7,030.20 and 1,566.86

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Solution

The fourth proportional to 4,686.44, 7,030.20 and 1,566.86 is: 2,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.44 : 7,030.20 = 1,566.86 : x
  2. Step 2: Convert to fraction form
    4,686.44/7,030.20 = 1,566.86/x
  3. Step 3: Cross multiply
    4,686.44x = 7,030.20 × 1,566.86
  4. Step 4: Simplify right side
    4,686.44x = 11,015,339.17
  5. Step 5: Solve for x
    x = 11,015,339.17/4,686.44
  6. Step 6: Final answer
    x = 2,350.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.