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Finding the Fourth Proportional to 5,686.60, 8,529.90 and 4,851.40

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Solution

The fourth proportional to 5,686.60, 8,529.90 and 4,851.40 is: 7,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.60 : 8,529.90 = 4,851.40 : x
  2. Step 2: Convert to fraction form
    5,686.60/8,529.90 = 4,851.40/x
  3. Step 3: Cross multiply
    5,686.60x = 8,529.90 × 4,851.40
  4. Step 4: Simplify right side
    5,686.60x = 41,381,956.86
  5. Step 5: Solve for x
    x = 41,381,956.86/5,686.60
  6. Step 6: Final answer
    x = 7,277.10

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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.