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Finding the Fourth Proportional to 5,152.41, 7,728.63 and 1,864.74

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Solution

The fourth proportional to 5,152.41, 7,728.63 and 1,864.74 is: 2,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.41 : 7,728.63 = 1,864.74 : x
  2. Step 2: Convert to fraction form
    5,152.41/7,728.63 = 1,864.74/x
  3. Step 3: Cross multiply
    5,152.41x = 7,728.63 × 1,864.74
  4. Step 4: Simplify right side
    5,152.41x = 14,411,885.51
  5. Step 5: Solve for x
    x = 14,411,885.51/5,152.41
  6. Step 6: Final answer
    x = 2,797.12

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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.