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Finding the Fourth Proportional to 6,300.56, 8,695.04 and 3,506

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Solution

The fourth proportional to 6,300.56, 8,695.04 and 3,506 is: 4,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.56 : 8,695.04 = 3,506 : x
  2. Step 2: Convert to fraction form
    6,300.56/8,695.04 = 3,506/x
  3. Step 3: Cross multiply
    6,300.56x = 8,695.04 × 3,506
  4. Step 4: Simplify right side
    6,300.56x = 30,484,810.24
  5. Step 5: Solve for x
    x = 30,484,810.24/6,300.56
  6. Step 6: Final answer
    x = 4,838.43

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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.