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Finding the Fourth Proportional to 4,686.84, 7,032.24 and 2,088

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Solution

The fourth proportional to 4,686.84, 7,032.24 and 2,088 is: 3,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.84 : 7,032.24 = 2,088 : x
  2. Step 2: Convert to fraction form
    4,686.84/7,032.24 = 2,088/x
  3. Step 3: Cross multiply
    4,686.84x = 7,032.24 × 2,088
  4. Step 4: Simplify right side
    4,686.84x = 14,683,317.12
  5. Step 5: Solve for x
    x = 14,683,317.12/4,686.84
  6. Step 6: Final answer
    x = 3,132.88

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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.