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Finding the Fourth Proportional to 4,630.30, 6,946.06 and 1,509.21

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Solution

The fourth proportional to 4,630.30, 6,946.06 and 1,509.21 is: 2,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.30 : 6,946.06 = 1,509.21 : x
  2. Step 2: Convert to fraction form
    4,630.30/6,946.06 = 1,509.21/x
  3. Step 3: Cross multiply
    4,630.30x = 6,946.06 × 1,509.21
  4. Step 4: Simplify right side
    4,630.30x = 10,483,055.67
  5. Step 5: Solve for x
    x = 10,483,055.67/4,630.30
  6. Step 6: Final answer
    x = 2,264.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.