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Finding the Fourth Proportional to 4,570.30, 6,303.74 and 2,974

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Solution

The fourth proportional to 4,570.30, 6,303.74 and 2,974 is: 4,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.30 : 6,303.74 = 2,974 : x
  2. Step 2: Convert to fraction form
    4,570.30/6,303.74 = 2,974/x
  3. Step 3: Cross multiply
    4,570.30x = 6,303.74 × 2,974
  4. Step 4: Simplify right side
    4,570.30x = 18,747,322.76
  5. Step 5: Solve for x
    x = 18,747,322.76/4,570.30
  6. Step 6: Final answer
    x = 4,101.99

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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.