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Finding the Fourth Proportional to 4,544.40, 6,779.64 and 4,119.98

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Solution

The fourth proportional to 4,544.40, 6,779.64 and 4,119.98 is: 6,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.40 : 6,779.64 = 4,119.98 : x
  2. Step 2: Convert to fraction form
    4,544.40/6,779.64 = 4,119.98/x
  3. Step 3: Cross multiply
    4,544.40x = 6,779.64 × 4,119.98
  4. Step 4: Simplify right side
    4,544.40x = 27,931,981.21
  5. Step 5: Solve for x
    x = 27,931,981.21/4,544.40
  6. Step 6: Final answer
    x = 6,146.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.