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Finding the Fourth Proportional to 4,827.60, 7,239.51 and 1,706.40

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Solution

The fourth proportional to 4,827.60, 7,239.51 and 1,706.40 is: 2,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.60 : 7,239.51 = 1,706.40 : x
  2. Step 2: Convert to fraction form
    4,827.60/7,239.51 = 1,706.40/x
  3. Step 3: Cross multiply
    4,827.60x = 7,239.51 × 1,706.40
  4. Step 4: Simplify right side
    4,827.60x = 12,353,499.86
  5. Step 5: Solve for x
    x = 12,353,499.86/4,827.60
  6. Step 6: Final answer
    x = 2,558.93

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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.