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Finding the Fourth Proportional to 4,570.81, 6,307.70 and 2,474.93

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Solution

The fourth proportional to 4,570.81, 6,307.70 and 2,474.93 is: 3,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.81 : 6,307.70 = 2,474.93 : x
  2. Step 2: Convert to fraction form
    4,570.81/6,307.70 = 2,474.93/x
  3. Step 3: Cross multiply
    4,570.81x = 6,307.70 × 2,474.93
  4. Step 4: Simplify right side
    4,570.81x = 15,611,119.36
  5. Step 5: Solve for x
    x = 15,611,119.36/4,570.81
  6. Step 6: Final answer
    x = 3,415.40

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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.