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Finding the Fourth Proportional to 4,732.58, 7,097.27 and 1,612.00

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Solution

The fourth proportional to 4,732.58, 7,097.27 and 1,612.00 is: 2,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.58 : 7,097.27 = 1,612.00 : x
  2. Step 2: Convert to fraction form
    4,732.58/7,097.27 = 1,612.00/x
  3. Step 3: Cross multiply
    4,732.58x = 7,097.27 × 1,612.00
  4. Step 4: Simplify right side
    4,732.58x = 11,440,809.12
  5. Step 5: Solve for x
    x = 11,440,809.12/4,732.58
  6. Step 6: Final answer
    x = 2,417.46

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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.