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Finding the Fourth Proportional to 4,659.68, 6,989.46 and 1,886.32

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Solution

The fourth proportional to 4,659.68, 6,989.46 and 1,886.32 is: 2,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.68 : 6,989.46 = 1,886.32 : x
  2. Step 2: Convert to fraction form
    4,659.68/6,989.46 = 1,886.32/x
  3. Step 3: Cross multiply
    4,659.68x = 6,989.46 × 1,886.32
  4. Step 4: Simplify right side
    4,659.68x = 13,184,358.19
  5. Step 5: Solve for x
    x = 13,184,358.19/4,659.68
  6. Step 6: Final answer
    x = 2,829.46

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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.