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Finding the Fourth Proportional to 4,640.06, 6,959.99 and 1,130.08

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Solution

The fourth proportional to 4,640.06, 6,959.99 and 1,130.08 is: 1,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.06 : 6,959.99 = 1,130.08 : x
  2. Step 2: Convert to fraction form
    4,640.06/6,959.99 = 1,130.08/x
  3. Step 3: Cross multiply
    4,640.06x = 6,959.99 × 1,130.08
  4. Step 4: Simplify right side
    4,640.06x = 7,865,345.50
  5. Step 5: Solve for x
    x = 7,865,345.50/4,640.06
  6. Step 6: Final answer
    x = 1,695.10

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Why These Related Problems?

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