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Finding the Fourth Proportional to 4,690.53, 6,468.01 and 4,059.14

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Solution

The fourth proportional to 4,690.53, 6,468.01 and 4,059.14 is: 5,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.53 : 6,468.01 = 4,059.14 : x
  2. Step 2: Convert to fraction form
    4,690.53/6,468.01 = 4,059.14/x
  3. Step 3: Cross multiply
    4,690.53x = 6,468.01 × 4,059.14
  4. Step 4: Simplify right side
    4,690.53x = 26,254,515.62
  5. Step 5: Solve for x
    x = 26,254,515.62/4,690.53
  6. Step 6: Final answer
    x = 5,597.35

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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.