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Finding the Fourth Proportional to 4,152.84, 6,225.98 and 2,071.78

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Solution

The fourth proportional to 4,152.84, 6,225.98 and 2,071.78 is: 3,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.84 : 6,225.98 = 2,071.78 : x
  2. Step 2: Convert to fraction form
    4,152.84/6,225.98 = 2,071.78/x
  3. Step 3: Cross multiply
    4,152.84x = 6,225.98 × 2,071.78
  4. Step 4: Simplify right side
    4,152.84x = 12,898,829.71
  5. Step 5: Solve for x
    x = 12,898,829.71/4,152.84
  6. Step 6: Final answer
    x = 3,106.03

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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.