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Finding the Fourth Proportional to 4,577.76, 6,866.88 and 1,458.03

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Solution

The fourth proportional to 4,577.76, 6,866.88 and 1,458.03 is: 2,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.76 : 6,866.88 = 1,458.03 : x
  2. Step 2: Convert to fraction form
    4,577.76/6,866.88 = 1,458.03/x
  3. Step 3: Cross multiply
    4,577.76x = 6,866.88 × 1,458.03
  4. Step 4: Simplify right side
    4,577.76x = 10,012,117.05
  5. Step 5: Solve for x
    x = 10,012,117.05/4,577.76
  6. Step 6: Final answer
    x = 2,187.12

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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.