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Finding the Fourth Proportional to 4,732.48, 7,097.74 and 4,498.32

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Solution

The fourth proportional to 4,732.48, 7,097.74 and 4,498.32 is: 6,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.48 : 7,097.74 = 4,498.32 : x
  2. Step 2: Convert to fraction form
    4,732.48/7,097.74 = 4,498.32/x
  3. Step 3: Cross multiply
    4,732.48x = 7,097.74 × 4,498.32
  4. Step 4: Simplify right side
    4,732.48x = 31,927,905.80
  5. Step 5: Solve for x
    x = 31,927,905.80/4,732.48
  6. Step 6: Final answer
    x = 6,746.55

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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.