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Finding the Fourth Proportional to 4,788.32, 6,599.68 and 4,122.50

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Solution

The fourth proportional to 4,788.32, 6,599.68 and 4,122.50 is: 5,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.32 : 6,599.68 = 4,122.50 : x
  2. Step 2: Convert to fraction form
    4,788.32/6,599.68 = 4,122.50/x
  3. Step 3: Cross multiply
    4,788.32x = 6,599.68 × 4,122.50
  4. Step 4: Simplify right side
    4,788.32x = 27,207,137.50
  5. Step 5: Solve for x
    x = 27,207,137.50/4,788.32
  6. Step 6: Final answer
    x = 5,681.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.