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Finding the Fourth Proportional to 4,307.52, 6,457.78 and 4,063.08

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Solution

The fourth proportional to 4,307.52, 6,457.78 and 4,063.08 is: 6,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.52 : 6,457.78 = 4,063.08 : x
  2. Step 2: Convert to fraction form
    4,307.52/6,457.78 = 4,063.08/x
  3. Step 3: Cross multiply
    4,307.52x = 6,457.78 × 4,063.08
  4. Step 4: Simplify right side
    4,307.52x = 26,238,476.76
  5. Step 5: Solve for x
    x = 26,238,476.76/4,307.52
  6. Step 6: Final answer
    x = 6,091.32

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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.