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Finding the Fourth Proportional to 4,756.95, 6,566.39 and 4,258.69

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Solution

The fourth proportional to 4,756.95, 6,566.39 and 4,258.69 is: 5,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.95 : 6,566.39 = 4,258.69 : x
  2. Step 2: Convert to fraction form
    4,756.95/6,566.39 = 4,258.69/x
  3. Step 3: Cross multiply
    4,756.95x = 6,566.39 × 4,258.69
  4. Step 4: Simplify right side
    4,756.95x = 27,964,219.43
  5. Step 5: Solve for x
    x = 27,964,219.43/4,756.95
  6. Step 6: Final answer
    x = 5,878.60

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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.