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Finding the Fourth Proportional to 3,527.90, 4,868.80 and 1,956.50

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Solution

The fourth proportional to 3,527.90, 4,868.80 and 1,956.50 is: 2,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.90 : 4,868.80 = 1,956.50 : x
  2. Step 2: Convert to fraction form
    3,527.90/4,868.80 = 1,956.50/x
  3. Step 3: Cross multiply
    3,527.90x = 4,868.80 × 1,956.50
  4. Step 4: Simplify right side
    3,527.90x = 9,525,807.20
  5. Step 5: Solve for x
    x = 9,525,807.20/3,527.90
  6. Step 6: Final answer
    x = 2,700.14

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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.