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Finding the Fourth Proportional to 4,684.42, 6,464.46 and 2,588.50

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Solution

The fourth proportional to 4,684.42, 6,464.46 and 2,588.50 is: 3,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.42 : 6,464.46 = 2,588.50 : x
  2. Step 2: Convert to fraction form
    4,684.42/6,464.46 = 2,588.50/x
  3. Step 3: Cross multiply
    4,684.42x = 6,464.46 × 2,588.50
  4. Step 4: Simplify right side
    4,684.42x = 16,733,254.71
  5. Step 5: Solve for x
    x = 16,733,254.71/4,684.42
  6. Step 6: Final answer
    x = 3,572.11

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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.